Finite Math Examples

$x^{3} + 5 x^{2} \cdot (7 x) + 3$

Step 1

Rewrite using the commutative property of multiplication.

$x^{3} + 5 \cdot 7 x^{2} x + 3$

Step 2

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

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Step 2.1

Move $x$ .

$x^{3} + 5 \cdot 7 (x \cdot x^{2}) + 3$

Step 2.2

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

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Step 2.2.1

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

$x^{3} + 5 \cdot 7 (x^{1} x^{2}) + 3$

Step 2.2.2

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

$x^{3} + 5 \cdot 7 x^{1 + 2} + 3$

Step 2.3

Add $1$ and $2$ .

$x^{3} + 5 \cdot 7 x^{3} + 3$

Step 3

Multiply $5$ by $7$ .

$x^{3} + 35 x^{3} + 3$

Step 4

Add $x^{3}$ and $35 x^{3}$ .

$36 x^{3} + 3$

Step 5

Factor $3$ out of $36 x^{3} + 3$ .

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Step 5.1

Factor $3$ out of $36 x^{3}$ .

$3 (12 x^{3}) + 3$

Step 5.2

Factor $3$ out of $3$ .

$3 (12 x^{3}) + 3 (1)$

Step 5.3

Factor $3$ out of $3 (12 x^{3}) + 3 (1)$ .

$3 (12 x^{3} + 1)$