Algebra 1: Common Core (15th Edition)

a. $(x+3)^{2}$ b. $(x-7)^{2}$
a. $x^{2}+6x+9=$ ...write the last term as a square. $=x^{2}+6x+3^{2}$ ...does middle term equal $2ab$? $6x=2(x)(3)$ $=x^{2}+2(x)(3)+3^{2}$ ...write as the square of a binomial. $=(x+3)^{2}$ b. $x^{2}-14x+49=$ ...write the last term as a square. $=x^{2}-14x+7^{2}$ ...does middle term equal $2ab$? $14x=2(x)(7)$ $=x^{2}-2(x)(7)+7^{2}$ ...write as the square of a binomial. $=(x-7)^{2}$