Factor 8x^3+8 - Math solver

$8 x^{3} + 8$

Factor $8$ out of $8 x^{3} + 8$ .

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Factor $8$ out of $8 x^{3}$ .

$8 (x^{3}) + 8$

Factor $8$ out of $8$ .

$8 (x^{3}) + 8 (1)$

Factor $8$ out of $8 (x^{3}) + 8 (1)$ .

$8 (x^{3} + 1)$

Rewrite $1$ as $1^{3}$ .

$8 (x^{3} + 1^{3})$

Since both terms are perfect cubes, factor using the sum of cubes formula, $a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$ where $a = x$ and $b = 1$ .

$8 ((x + 1) (x^{2} - x \cdot 1 + 1^{2}))$

Factor.

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Simplify.

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Multiply $- 1$ by $1$ .

$8 ((x + 1) (x^{2} - x + 1^{2}))$

One to any power is one.

$8 ((x + 1) (x^{2} - x + 1))$

Remove unnecessary parentheses.

$8 (x + 1) (x^{2} - x + 1)$

Factor 8x^3+8

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