\[64{x}^{3}-1\]

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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=4x

and

b=1

.

{(4x)}^{3}-{1}^{3}

2

Use Difference of Cubes:

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

.

(4x-1)({(4x)}^{2}+(4x)(1)+{1}^{2})

3

Use Multiplication Distributive Property:

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

.

(4x-1)({4}^{2}{x}^{2}+4x\times 1+{1}^{2})

4

Simplify

{4}^{2}

to

16

.

(4x-1)(16{x}^{2}+4x\times 1+{1}^{2})

5

Simplify

{1}^{2}

to

1

.

(4x-1)(16{x}^{2}+4x\times 1+1)

6

Simplify

4x\times 1

to

4x

.

(4x-1)(16{x}^{2}+4x+1)

Done

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