Factor 125+x^3

$125 + x^{3}$

Step 1

Rewrite $125$ as $5^{3}$ .

$5^{3} + x^{3}$

Step 2

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 $a = 5$ and $b = x$ .

$(5 + x) (5^{2} - 5 x + x^{2})$

Step 3

Raise $5$ to the power of $2$ .

$(5 + x) (25 - 5 x + x^{2})$

Factor 125+x^3

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