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: 20

Answer

$(r+2s-3t)(2r-2s+t)=2r^{2}+2rs-5rt-4s^{2}+8st-3t^{2}$

Work Step by Step

$(r+2s-3t)(2r-2s+t)$ Evaluate the product indicated by multiplying all three terms of the first factor by every element in the second factor separately: $(r+2s-3t)(2r-2s+t)=...$ $...=2r^{2}-2rs+rt+4rs-4s^{2}+2st-6rt+6st-3t^{2}=...$ Simplify by combining like terms: $...=2r^{2}+2rs-5rt-4s^{2}+8st-3t^{2}$
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