Algebra Examples

$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$y = a x^{2} + b x + c$

Step 2

Rewrite ${(x - 1)}^{2}$ as $(x - 1) (x - 1)$ .

$y = (x^{2} - 5) ((x - 1) (x - 1)) {(x - 2)}^{3}$

Step 3

Expand $(x - 1) (x - 1)$ using the FOIL Method.

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Step 3.1

Apply the distributive property.

$y = (x^{2} - 5) (x (x - 1) - 1 (x - 1)) {(x - 2)}^{3}$

Step 3.2

Apply the distributive property.

$y = (x^{2} - 5) (x \cdot x + x \cdot - 1 - 1 (x - 1)) {(x - 2)}^{3}$

Step 3.3

Apply the distributive property.

$y = (x^{2} - 5) (x \cdot x + x \cdot - 1 - 1 x - 1 \cdot - 1) {(x - 2)}^{3}$

Step 4

Simplify and combine like terms.

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Step 4.1

Simplify each term.

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Step 4.1.1

Multiply $x$ by $x$ .

$y = (x^{2} - 5) (x^{2} + x \cdot - 1 - 1 x - 1 \cdot - 1) {(x - 2)}^{3}$

Step 4.1.2

Move $- 1$ to the left of $x$ .

$y = (x^{2} - 5) (x^{2} - 1 \cdot x - 1 x - 1 \cdot - 1) {(x - 2)}^{3}$

Step 4.1.3

Rewrite $- 1 x$ as $- x$ .

$y = (x^{2} - 5) (x^{2} - x - 1 x - 1 \cdot - 1) {(x - 2)}^{3}$

Step 4.1.4

Rewrite $- 1 x$ as $- x$ .

$y = (x^{2} - 5) (x^{2} - x - x - 1 \cdot - 1) {(x - 2)}^{3}$

Step 4.1.5

Multiply $- 1$ by $- 1$ .

$y = (x^{2} - 5) (x^{2} - x - x + 1) {(x - 2)}^{3}$

Step 4.2

Subtract $x$ from $- x$ .

$y = (x^{2} - 5) (x^{2} - 2 x + 1) {(x - 2)}^{3}$

Step 5

Expand $(x^{2} - 5) (x^{2} - 2 x + 1)$ by multiplying each term in the first expression by each term in the second expression.

$y = (x^{2} x^{2} + x^{2} (- 2 x) + x^{2} \cdot 1 - 5 x^{2} - 5 (- 2 x) - 5 \cdot 1) {(x - 2)}^{3}$

Step 6

Simplify terms.

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Step 6.1

Simplify each term.

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Step 6.1.1

Multiply $x^{2}$ by $x^{2}$ by adding the exponents.

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Step 6.1.1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = (x^{2 + 2} + x^{2} (- 2 x) + x^{2} \cdot 1 - 5 x^{2} - 5 (- 2 x) - 5 \cdot 1) {(x - 2)}^{3}$

Step 6.1.1.2

Add $2$ and $2$ .

$y = (x^{4} + x^{2} (- 2 x) + x^{2} \cdot 1 - 5 x^{2} - 5 (- 2 x) - 5 \cdot 1) {(x - 2)}^{3}$

Step 6.1.2

Rewrite using the commutative property of multiplication.

$y = (x^{4} - 2 x^{2} x + x^{2} \cdot 1 - 5 x^{2} - 5 (- 2 x) - 5 \cdot 1) {(x - 2)}^{3}$

Step 6.1.3

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 6.1.3.1

Move $x$ .

$y = (x^{4} - 2 (x \cdot x^{2}) + x^{2} \cdot 1 - 5 x^{2} - 5 (- 2 x) - 5 \cdot 1) {(x - 2)}^{3}$

Step 6.1.3.2

Multiply $x$ by $x^{2}$ .

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Step 6.1.3.2.1

Raise $x$ to the power of $1$ .

$y = (x^{4} - 2 (x \cdot x^{2}) + x^{2} \cdot 1 - 5 x^{2} - 5 (- 2 x) - 5 \cdot 1) {(x - 2)}^{3}$

Step 6.1.3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = (x^{4} - 2 x^{1 + 2} + x^{2} \cdot 1 - 5 x^{2} - 5 (- 2 x) - 5 \cdot 1) {(x - 2)}^{3}$

Step 6.1.3.3

Add $1$ and $2$ .

$y = (x^{4} - 2 x^{3} + x^{2} \cdot 1 - 5 x^{2} - 5 (- 2 x) - 5 \cdot 1) {(x - 2)}^{3}$

Step 6.1.4

Multiply $x^{2}$ by $1$ .

$y = (x^{4} - 2 x^{3} + x^{2} - 5 x^{2} - 5 (- 2 x) - 5 \cdot 1) {(x - 2)}^{3}$

Step 6.1.5

Multiply $- 2$ by $- 5$ .

$y = (x^{4} - 2 x^{3} + x^{2} - 5 x^{2} + 10 x - 5 \cdot 1) {(x - 2)}^{3}$

Step 6.1.6

Multiply $- 5$ by $1$ .

$y = (x^{4} - 2 x^{3} + x^{2} - 5 x^{2} + 10 x - 5) {(x - 2)}^{3}$

Step 6.2

Subtract $5 x^{2}$ from $x^{2}$ .

$y = (x^{4} - 2 x^{3} - 4 x^{2} + 10 x - 5) {(x - 2)}^{3}$

Step 7

Use the Binomial Theorem.

$y = (x^{4} - 2 x^{3} - 4 x^{2} + 10 x - 5) (x^{3} + 3 x^{2} \cdot - 2 + 3 x {(- 2)}^{2} + {(- 2)}^{3})$

Step 8

Simplify each term.

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Step 8.1

Multiply $- 2$ by $3$ .

$y = (x^{4} - 2 x^{3} - 4 x^{2} + 10 x - 5) (x^{3} - 6 x^{2} + 3 x {(- 2)}^{2} + {(- 2)}^{3})$

Step 8.2

Raise $- 2$ to the power of $2$ .

$y = (x^{4} - 2 x^{3} - 4 x^{2} + 10 x - 5) (x^{3} - 6 x^{2} + 3 x \cdot 4 + {(- 2)}^{3})$

Step 8.3

Multiply $4$ by $3$ .

$y = (x^{4} - 2 x^{3} - 4 x^{2} + 10 x - 5) (x^{3} - 6 x^{2} + 12 x + {(- 2)}^{3})$

Step 8.4

Raise $- 2$ to the power of $3$ .

$y = (x^{4} - 2 x^{3} - 4 x^{2} + 10 x - 5) (x^{3} - 6 x^{2} + 12 x - 8)$

Step 9

Expand $(x^{4} - 2 x^{3} - 4 x^{2} + 10 x - 5) (x^{3} - 6 x^{2} + 12 x - 8)$ by multiplying each term in the first expression by each term in the second expression.

$y = x^{4} x^{3} + x^{4} (- 6 x^{2}) + x^{4} (12 x) + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10

Simplify terms.

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Step 10.1

Simplify each term.

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Step 10.1.1

Multiply $x^{4}$ by $x^{3}$ by adding the exponents.

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Step 10.1.1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{4 + 3} + x^{4} (- 6 x^{2}) + x^{4} (12 x) + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.1.2

Add $4$ and $3$ .

$y = x^{7} + x^{4} (- 6 x^{2}) + x^{4} (12 x) + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.2

Rewrite using the commutative property of multiplication.

$y = x^{7} - 6 x^{4} x^{2} + x^{4} (12 x) + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.3

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

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Step 10.1.3.1

Move $x^{2}$ .

$y = x^{7} - 6 (x^{2} x^{4}) + x^{4} (12 x) + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.3.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{7} - 6 x^{2 + 4} + x^{4} (12 x) + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.3.3

Add $2$ and $4$ .

$y = x^{7} - 6 x^{6} + x^{4} (12 x) + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.4

Rewrite using the commutative property of multiplication.

$y = x^{7} - 6 x^{6} + 12 x^{4} x + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.5

Multiply $x^{4}$ by $x$ by adding the exponents.

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Step 10.1.5.1

Move $x$ .

$y = x^{7} - 6 x^{6} + 12 (x \cdot x^{4}) + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.5.2

Multiply $x$ by $x^{4}$ .

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Step 10.1.5.2.1

Raise $x$ to the power of $1$ .

Step 10.1.5.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{7} - 6 x^{6} + 12 x^{1 + 4} + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.5.3

Add $1$ and $4$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} + x^{4} \cdot - 8 - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.6

Move $- 8$ to the left of $x^{4}$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 \cdot x^{4} - 2 x^{3} x^{3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.7

Multiply $x^{3}$ by $x^{3}$ by adding the exponents.

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Step 10.1.7.1

Move $x^{3}$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 (x^{3} x^{3}) - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.7.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{3 + 3} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.7.3

Add $3$ and $3$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} - 2 x^{3} (- 6 x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.8

Rewrite using the commutative property of multiplication.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} - 2 \cdot (- 6 x^{3} x^{2}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.9

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

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Step 10.1.9.1

Move $x^{2}$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} - 2 \cdot (- 6 (x^{2} x^{3})) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.9.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} - 2 \cdot (- 6 x^{2 + 3}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.9.3

Add $2$ and $3$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} - 2 \cdot (- 6 x^{5}) - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.10

Multiply $- 2$ by $- 6$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 2 x^{3} (12 x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.11

Rewrite using the commutative property of multiplication.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 2 \cdot (12 x^{3} x) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.12

Multiply $x^{3}$ by $x$ by adding the exponents.

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Step 10.1.12.1

Move $x$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 2 \cdot (12 (x \cdot x^{3})) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.12.2

Multiply $x$ by $x^{3}$ .

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Step 10.1.12.2.1

Raise $x$ to the power of $1$ .

Step 10.1.12.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 2 \cdot (12 x^{1 + 3}) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.12.3

Add $1$ and $3$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 2 \cdot (12 x^{4}) - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.13

Multiply $- 2$ by $12$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} - 2 x^{3} \cdot - 8 - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.14

Multiply $- 8$ by $- 2$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{2} x^{3} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.15

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

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Step 10.1.15.1

Move $x^{3}$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 (x^{3} x^{2}) - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.15.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{3 + 2} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.15.3

Add $3$ and $2$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} - 4 x^{2} (- 6 x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.16

Rewrite using the commutative property of multiplication.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} - 4 \cdot (- 6 x^{2} x^{2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.17

Multiply $x^{2}$ by $x^{2}$ by adding the exponents.

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Step 10.1.17.1

Move $x^{2}$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} - 4 \cdot (- 6 (x^{2} x^{2})) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.17.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} - 4 \cdot (- 6 x^{2 + 2}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.17.3

Add $2$ and $2$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} - 4 \cdot (- 6 x^{4}) - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.18

Multiply $- 4$ by $- 6$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 4 x^{2} (12 x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.19

Rewrite using the commutative property of multiplication.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 4 \cdot (12 x^{2} x) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.20

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 10.1.20.1

Move $x$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 4 \cdot (12 (x \cdot x^{2})) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.20.2

Multiply $x$ by $x^{2}$ .

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Step 10.1.20.2.1

Raise $x$ to the power of $1$ .

Step 10.1.20.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 4 \cdot (12 x^{1 + 2}) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.20.3

Add $1$ and $2$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 4 \cdot (12 x^{3}) - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.21

Multiply $- 4$ by $12$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} - 4 x^{2} \cdot - 8 + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.22

Multiply $- 8$ by $- 4$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x \cdot x^{3} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.23

Multiply $x$ by $x^{3}$ by adding the exponents.

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Step 10.1.23.1

Move $x^{3}$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 (x^{3} x) + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.23.2

Multiply $x^{3}$ by $x$ .

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Step 10.1.23.2.1

Raise $x$ to the power of $1$ .

Step 10.1.23.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{3 + 1} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.23.3

Add $3$ and $1$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} + 10 x (- 6 x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.24

Rewrite using the commutative property of multiplication.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} + 10 \cdot (- 6 x \cdot x^{2}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.25

Multiply $x$ by $x^{2}$ by adding the exponents.

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Step 10.1.25.1

Move $x^{2}$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} + 10 \cdot (- 6 (x^{2} x)) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.25.2

Multiply $x^{2}$ by $x$ .

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Step 10.1.25.2.1

Raise $x$ to the power of $1$ .

Step 10.1.25.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} + 10 \cdot (- 6 x^{2 + 1}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.25.3

Add $2$ and $1$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} + 10 \cdot (- 6 x^{3}) + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.26

Multiply $10$ by $- 6$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 10 x (12 x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.27

Rewrite using the commutative property of multiplication.

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 10 \cdot (12 x \cdot x) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.28

Multiply $x$ by $x$ by adding the exponents.

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Step 10.1.28.1

Move $x$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 10 \cdot (12 (x \cdot x)) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.28.2

Multiply $x$ by $x$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 10 \cdot (12 x^{2}) + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.29

Multiply $10$ by $12$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} + 10 x \cdot - 8 - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.30

Multiply $- 8$ by $10$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} - 5 (- 6 x^{2}) - 5 (12 x) - 5 \cdot - 8$

Step 10.1.31

Multiply $- 6$ by $- 5$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 5 (12 x) - 5 \cdot - 8$

Step 10.1.32

Multiply $12$ by $- 5$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x - 5 \cdot - 8$

Step 10.1.33

Multiply $- 5$ by $- 8$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x + 40$

Step 10.2

Simplify by adding terms.

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Step 10.2.1

Combine the opposite terms in $x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} - 24 x^{4} + 16 x^{3} - 4 x^{5} + 24 x^{4} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x + 40$ .

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Step 10.2.1.1

Add $- 24 x^{4}$ and $24 x^{4}$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} + 16 x^{3} - 4 x^{5} + 0 - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x + 40$

Step 10.2.1.2

Add $x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} + 16 x^{3} - 4 x^{5}$ and $0$ .

$y = x^{7} - 6 x^{6} + 12 x^{5} - 8 x^{4} - 2 x^{6} + 12 x^{5} + 16 x^{3} - 4 x^{5} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x + 40$

Step 10.2.2

Subtract $2 x^{6}$ from $- 6 x^{6}$ .

$y = x^{7} - 8 x^{6} + 12 x^{5} - 8 x^{4} + 12 x^{5} + 16 x^{3} - 4 x^{5} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x + 40$

Step 10.2.3

Add $12 x^{5}$ and $12 x^{5}$ .

$y = x^{7} - 8 x^{6} + 24 x^{5} - 8 x^{4} + 16 x^{3} - 4 x^{5} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x + 40$

Step 10.2.4

Subtract $4 x^{5}$ from $24 x^{5}$ .

$y = x^{7} - 8 x^{6} + 20 x^{5} - 8 x^{4} + 16 x^{3} - 48 x^{3} + 32 x^{2} + 10 x^{4} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x + 40$

Step 10.2.5

Add $- 8 x^{4}$ and $10 x^{4}$ .

$y = x^{7} - 8 x^{6} + 20 x^{5} + 2 x^{4} + 16 x^{3} - 48 x^{3} + 32 x^{2} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x + 40$

Step 10.2.6

Subtract $48 x^{3}$ from $16 x^{3}$ .

$y = x^{7} - 8 x^{6} + 20 x^{5} + 2 x^{4} - 32 x^{3} + 32 x^{2} - 60 x^{3} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x + 40$

Step 10.2.7

Subtract $60 x^{3}$ from $- 32 x^{3}$ .

$y = x^{7} - 8 x^{6} + 20 x^{5} + 2 x^{4} - 92 x^{3} + 32 x^{2} + 120 x^{2} - 80 x - 5 x^{3} + 30 x^{2} - 60 x + 40$

Step 10.2.8

Subtract $5 x^{3}$ from $- 92 x^{3}$ .

$y = x^{7} - 8 x^{6} + 20 x^{5} + 2 x^{4} - 97 x^{3} + 32 x^{2} + 120 x^{2} - 80 x + 30 x^{2} - 60 x + 40$

Step 10.2.9

Add $32 x^{2}$ and $120 x^{2}$ .

$y = x^{7} - 8 x^{6} + 20 x^{5} + 2 x^{4} - 97 x^{3} + 152 x^{2} - 80 x + 30 x^{2} - 60 x + 40$

Step 10.2.10

Add $152 x^{2}$ and $30 x^{2}$ .

$y = x^{7} - 8 x^{6} + 20 x^{5} + 2 x^{4} - 97 x^{3} + 182 x^{2} - 80 x - 60 x + 40$

Step 10.2.11

Subtract $60 x$ from $- 80 x$ .

$y = x^{7} - 8 x^{6} + 20 x^{5} + 2 x^{4} - 97 x^{3} + 182 x^{2} - 140 x + 40$

Step 11