Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.1 Polynomials - R.1 Exercises: 19

Answer

$(x+y+z)(3x-2y-z)=3x^{2}+xy+2xz-2y^{2}-3yz-z^{2}$

Work Step by Step

$(x+y+z)(3x-2y-z)$ Evaluate the product indicated by multiplying all three terms of the first factor by every element in the second factor separately: $(x+y+z)(3x-2y-z)=...$ $...=3x^{2}-2xy-xz+3xy-2y^{2}-yz+3xz-2yz-z^{2}=...$ Simplify by combining like terms: $...=3x^{2}+xy+2xz-2y^{2}-3yz-z^{2}$
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