# How do you factor #m^3 + 64n^3#?

##### 1 Answer

Mar 14, 2018

#### Explanation:

This type of expression is known as the 'sum of two cubes', because both of the terms are perfect cubes.

Note the form of the factoring:

Following the method shown we will have:

To factor the sum or difference of two cubes:

This is how it is done:

Make Two brackets,

The first is found from the cube root of each term.

The second bracket is formed from the first to get three terms:

- square the first term
- change the sign
- multiply the two terms together
- PLUS
- square the second term