# What is a perfect square binomial and how do you find the product?

Jul 8, 2018

A trinomial that when factored gives you the square of a binomial

#### Explanation:

Given: What is a perfect square binomial?

A perfect square binomial is a trinomial that when factored gives you the square of a binomial.

Ex. ${\left(a + b\right)}^{2} = {a}^{2} + 2 a b + {b}^{2}$

Ex. ${\left(2 a + 3 b\right)}^{2} = 4 {a}^{2} + 12 a b + 9 {b}^{2}$