## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-5 Factoring x2+bx+c - Practice and Problem-Solving Exercises - Page 516: 38

(x-3y)(x+6y)

#### Work Step by Step

You are given $x^{2}$+3xy-18$y^{2}$. Factor it out: $x^{2}$+6xy-3xy-18$y^{2}$ -break out the middle value- ($x^{2}$+6xy)+(-3xy-18$y^{2}$) -group the first two and last two terms- x(x+6y)-3y(x+6y) -Find the GCF of each grouping- (x-3y)(x+6y) -factor out the common term- =(x-3y)(x+6y)

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