Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises: 42

Answer

$2s^{2}+3st-5t^{2}$

Work Step by Step

We are given the expression $(s-t)(2s+5t)$. We can find the product of this expression using the FOIL method. First terms: $s\times 2s=2s^{2}$ Outer terms: $s\times5t=5st$ Inner terms: $3-t\times 2s=-2st$ Last terms: $-t\times5t=-5t^{2}$ Adding together: $2s^{2}+5st+(-2st)+(-5t^{2})=2s^{2}+5st-2st-5t^{2}=2s^{2}+3st-5t^{2}$
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