# Chapter 8 - Polynomials and Factoring - Chapter Review - 8-7 Factoring Special Cases - Page 526: 68

$(w+12)^{2}$

#### Work Step by Step

Given the polynomial $w^{2}$ + 24w + $12^{2}$ We see that the polynomial has the first and last term squared and the middle term is +2 times the first and last term. Thus it follows the rule of $a^{2}$ + 2ab + $b^{2}$ = $(a+b)^{2}$ In this polynomial a= w and b= 12 $(w)^{2}$ + 2(w)(12) + $(12)^{2}$ = $(w+12)^{2}$

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