\[27{x}^{3}-{y}^{3}\]

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Examples

"factor x^2+5x+6"

"integrate cos(x)^3"

1

Rewrite it in the form

{a}^{3}-{b}^{3}

, where

a=3x

and

b=y

.

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

2

Use Difference of Cubes:

{a}^{3}-{b}^{3}=(a-b)({a}^{2}+ab+{b}^{2})

.

(3x-y)({(3x)}^{2}+(3x)(y)+{y}^{2})

3

Use Multiplication Distributive Property:

{(xy)}^{a}={x}^{a}{y}^{a}

.

(3x-y)({3}^{2}{x}^{2}+3xy+{y}^{2})

4

Simplify

{3}^{2}

to

9

.

(3x-y)(9{x}^{2}+3xy+{y}^{2})

Done

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