Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 1 - Section 1.4 - Properties of Real Numbers and Algebraic Expressions - Exercise Set: 81

Answer

$-x^{2}+4xy+9$

Work Step by Step

We are given the expression $3(xy-2)+xy+15-x^{2}$. We can use the distributive property and then group like terms to simplify. $3\times(xy-2)+xy+15-x^{2}=3xy-6+xy+15-x^{2}$ $=(-x^{2})+(3xy+xy)+(15-6)=-x^{2}+4xy+9$
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