Question

Which binomial is a factor of 9x^2-64

Answer 1

This is an example of a factor pattern called the Difference of Two Squares.


`A^2-B^2=(A+B)(A-B)`

What is playing the role of A? What do you square to get
`9x^2`? That would be
`3x`.

What is playing the role of B? What do you square to get 64? That would be 8.

Your expression factors as
`(3x+8)(3x-8)`