# Chapter 5 - Section 5.5 - Factoring Special Forms - Exercise Set: 49

$(x+2)^2$

#### Work Step by Step

RECALL: $a^2+2ab+b^2=(a+b)^2$ The given trinomial can be written as: $=x^2+2(x)(2) + 2^2$ This trinomial is in the same form as the perfect square trinomial above where $a=x$ and $b=2$. Factor the perfect square trinomial using the formula above to obtain: $=(x+2)^2$

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