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: 14

Answer

$\Big(\dfrac{3}{4}r-\dfrac{2}{3}s\Big)\Big(\dfrac{5}{4}r+\dfrac{1}{3}s\Big)=\dfrac{15}{16}r^{2}-\dfrac{7}{12}rs-\dfrac{2}{9}s^{2}$

Work Step by Step

$\Big(\dfrac{3}{4}r-\dfrac{2}{3}s\Big)\Big(\dfrac{5}{4}r+\dfrac{1}{3}s\Big)$ Evaluate the binomial product using the FOIL method and simplify by combining like terms: $\dfrac{3}{4}\cdot\dfrac{5}{4}r^{2}+\dfrac{3}{4}\cdot\dfrac{1}{3}rs-\dfrac{2}{3}\cdot\dfrac{5}{4}rs-\dfrac{2}{3}\cdot\dfrac{1}{3}s^{2}=...$ $...=\dfrac{15}{16}r^{2}+\dfrac{1}{4}rs-\dfrac{5}{6}rs-\dfrac{2}{9}s^{2}=...$ $...=\dfrac{15}{16}r^{2}-\dfrac{7}{12}rs-\dfrac{2}{9}s^{2}$
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