Write as a Set of Linear Factors x^3+216

$x^{3} + 216$

Rewrite $216$ as $6^{3}$ .

$x^{3} + 6^{3}$

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 $b = 6$ .

$(x + 6) (x^{2} - x \cdot 6 + 6^{2})$

Simplify.

Multiply $6$ by $- 1$ .

$(x + 6) (x^{2} - 6 x + 6^{2})$

Raise $6$ to the power of $2$ .

$(x + 6) (x^{2} - 6 x + 36)$

Write as a Set of Linear Factors x^3+216

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