Factor x^3+343 - MathMaster

$x^{3} + 343$

Rewrite $343$ as $7^{3}$ .

$x^{3} + 7^{3}$

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 $b = 7$ .

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

Simplify.

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Multiply $7$ by $- 1$ .

$(x + 7) (x^{2} - 7 x + 7^{2})$

Raise $7$ to the power of $2$ .

$(x + 7) (x^{2} - 7 x + 49)$

Factor x^3+343

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