# Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5 - Page 75: 127

Perfect square trinomial-- Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself. or Whenever you multiply a binomial by itself twice, the resulting trinomial is called a perfect square trinomial Let the perfect square trinomial = $a^{2}$ + 2 a b + $b^{2}$). Factor of ( $a^{2}$ + 2 a b + $b^{2}$) = (a + b) (a + b) = $(a + b)^{2}$

#### Work Step by Step

Let the perfect square trinomial = $a^{2}$ + 2 a b + $b^{2}$. =$a^{2}$ + a b + a b + $b^{2}$. =a(a + b) + b(a + b). =(a + b) (a + b). =$(a + b)^{2}$. Factor of ( $a^{2}$ + 2 a b + $b^{2}$) = (a + b) (a + b) = $(a + b)^{2}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.