Factor y^3+1000

$y^{3} + 1000$

Step 1

Rewrite $1000$ as $10^{3}$ .

$y^{3} + 10^{3}$

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 $a = y$ and $b = 10$ .

$(y + 10) (y^{2} - y \cdot 10 + 10^{2})$

Step 3

Simplify.

Multiply $10$ by $- 1$ .

$(y + 10) (y^{2} - 10 y + 10^{2})$

Raise $10$ to the power of $2$ .

$(y + 10) (y^{2} - 10 y + 100)$

Factor y^3+1000

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