Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.5 - Factoring Polynomials - Exercise Set - Page 68: 37

Answer

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

Work Step by Step

$6x^{2}-5xy-6y^{2}=$ two factors of $ac=-36$ whose sum is $b=-5$ are $-9$ and $+4.$ Rewrite the middle term and factor in pairs. $6x^{2}-5xy-6y^{2}=6x^{2}-9xy+4xy-6y^{2}=$ $=3x(2x-3y)+2(2x-3y)$ $=(3x+2y)(2x-3y)$
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