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 - Page R-5: 13



Work Step by Step

$\Big(\dfrac{2}{5}y+\dfrac{1}{8}z\Big)\Big(\dfrac{3}{5}y+\dfrac{1}{2}z\Big)$ Evaluate the binomial product using the FOIL method and simplify by combining like terms: $\dfrac{2}{5}\cdot\dfrac{3}{5}y^{2}+\dfrac{2}{5}\cdot\dfrac{1}{2}yz+\dfrac{1}{8}\cdot\dfrac{3}{5}yz+\dfrac{1}{8}\cdot\dfrac{1}{2}z^{2}=...$ $...=\dfrac{6}{25}y^{2}+\dfrac{1}{5}yz+\dfrac{3}{40}yz+\dfrac{1}{16}z^{2}=...$ $...=\dfrac{6}{25}y^{2}+\dfrac{11}{40}yz+\dfrac{1}{16}z^{2}$
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