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

##### 1 Answer

Jun 8, 2016

#### Answer:

#### Explanation:

The key to factoring this is noticing that the first and last terms are both squared terms:

#64x^2=(8x)^2# #49=(7)^2#

This is a good indicator that the expression is a perfect square binomial, which comes in the form:

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

Here,

#2ab=2(8x)(7)=112x#

Since *is* a perfect square binomial.

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