Question

How do you factor `x^2+16x+64`?

Answer 1

`x^2+16x+64 = (x+8)^2` is a perfect square trinomial.

Explanation:

Given:

`x^2+16x+64`

Note that both `x^2` and `64=8^2` are both perfect squares, so we should check whether the middle term matches the middle term of `(x+8)^2`...

`(x+8)^2 = x^2+2(x)(8)+8^2 = x^2+16x+64`

So `x^2+16x+64 = (x+8)^2` is a perfect square trinomial.