Question

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

Answer 1

`(x+8)^2`

Explanation:

`x^2+16x+64" is a "color(blue)"perfect square"`

`"that is "(x+a)^2=x^2+2ax+a^2`

`"compare the coefficients of the x-term"`

`rArr2a=16rArra=8`

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