how to do this?

Question

Factor the polynomial completely.

 

36x⁶−64x⁴

i know 4 goes into both but i don'tknow what to do

Answer 1

The GCF of both terms is 8x⁴, so we can factor that out and we are left with:

 

4x⁴(9x² - 16)

 

Now, we factor 9x² - 16, which is a difference of squares:

 

4x⁴(3x + 4)(3x - 4)