Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - Chapter 6 Review Problem Set: 22

Answer

$(y-3)(x-2)$

Work Step by Step

Upon inspection, we find that $x$ is common to the first two terms of the expression while $-2$ is common to the last two terms of the expression, so we factor accordingly: $xy-3x-2y+6$ =$x(y-3)-2(y-3)$ Since $(y-3)$ is now common to the expression, we factor it out: $x(y-3)-2(y-3)=(y-3)(x-2)$
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