Algebra Examples

$(7 x^{3} + 3 x^{2} + 4 x + 10) - (10 + 8 x + 3 x^{3})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 x^{3} + 3 x^{2} + 4 x + 10 - 1 \cdot 10 - (8 x) - (3 x^{3})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 1$ by $10$ .

$7 x^{3} + 3 x^{2} + 4 x + 10 - 10 - (8 x) - (3 x^{3})$

Step 1.2.2

Multiply $8$ by $- 1$ .

$7 x^{3} + 3 x^{2} + 4 x + 10 - 10 - 8 x - (3 x^{3})$

Step 1.2.3

Multiply $3$ by $- 1$ .

$7 x^{3} + 3 x^{2} + 4 x + 10 - 10 - 8 x - 3 x^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $7 x^{3} + 3 x^{2} + 4 x + 10 - 10 - 8 x - 3 x^{3}$ .

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Step 2.1.1

Subtract $10$ from $10$ .

$7 x^{3} + 3 x^{2} + 4 x + 0 - 8 x - 3 x^{3}$

Step 2.1.2

Add $7 x^{3} + 3 x^{2} + 4 x$ and $0$ .

$7 x^{3} + 3 x^{2} + 4 x - 8 x - 3 x^{3}$

Step 2.2

Subtract $3 x^{3}$ from $7 x^{3}$ .

$4 x^{3} + 3 x^{2} + 4 x - 8 x$

Step 2.3

Subtract $8 x$ from $4 x$ .

$4 x^{3} + 3 x^{2} - 4 x$