# How do you factor #7h^4-7p^4#?

##### 1 Answer

May 27, 2017

#### Explanation:

When factorising :

1) Firstly, look for common factors

2) Secondly look for difference of squares

In this case

by inspection we see

now look for difference of squares

if both powers are even then we have DoS

now look and see if we can factorise anything further.

the first bracket can not be factorised using real numbers, but the second bracket is DoS again.

so we have

and that is now fully factorised.

***If you allow complex numbers then the first bracket can be factorised using DoS