# How do you factor #a^3 + b^3#?

##### 1 Answer

Feb 19, 2017

#### Explanation:

In order to factor

we must recognize that

and

The factor pattern for a binomial of perfect cubes is

The factor of

The second parenthesis has

the factor of

the factor of

and the factor of

For the signs we use the SOAP rule.

The First sign is the SAME as the sign in the binomial.

The Second sign is OPPOSITE of the sign in the binomial.

The Third sign is ALWAYS POSITIVE.

S- SAME

O- OPPOSITE

A- ALWAYS

P- POSITIVE