Answer
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) = $(a + b)^{2}$
