Algebra Examples

$- x^{3} + y^{3}$

Step 1

Factor $- 1$ out of $- x^{3} + y^{3}$ .

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Step 1.1

Factor $- 1$ out of $- x^{3}$ .

$- (x^{3}) + y^{3}$

Step 1.2

Factor $- 1$ out of $y^{3}$ .

$- (x^{3}) - 1 (- y^{3})$

Step 1.3

Factor $- 1$ out of $- (x^{3}) - 1 (- y^{3})$ .

$- (x^{3} - y^{3})$

Step 2

Factor.

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Step 2.1

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

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

Step 2.2

Remove unnecessary parentheses.

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