Question

How do you factor `8x^2-18`?

Answer 1

`2(2x+3)(2x-3)`

Explanation:

First, factor out the GCF (2)

`2(4x^2-9) rarr 4x^2-9` can be factored out using difference of squares:

`a^2-b^2=(a-b)(a+b)`

`a` in this case is `2x`, `b` is `3`

`(2x-3)(2x+3)`

`2(2x-3)(2x+3)`