Question

How do you factor `49x^2 + 112x + 64`?

Answer 1

`(7x+8)^2`

Explanation:

This is a perfect square trinomial, which take the form

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

Here, `a=7x` and `b=8` since

`(7x+8)^2=(7x)^2+2(7x)(8)+8^2=49x^2+112x+64`