# How do you factor by grouping #x^6 + 12x^2y^2 +64y^6 - 1#?

##### 1 Answer

Aug 29, 2015

#### Explanation:

We can at least partially factor this as follows:

Let

Then

This symmetric polynomial is a little easier to work with:

You can then reconstruct this answer as factoring by grouping, but that would not explain how you found the splits.

By the way,

where