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: 13

Answer

$\Big(\dfrac{2}{5}y+\dfrac{1}{8}z\Big)\Big(\dfrac{3}{5}y+\dfrac{1}{2}z\Big)=\dfrac{6}{25}y^{2}+\dfrac{11}{40}yz+\dfrac{1}{16}z^{2}$

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: $\dfrac{2}{5}\cdot\dfrac{3}{5}y^{2}+\dfrac{2}{5}\cdot\dfrac{1}{2}yz+\dfrac{1}{8}\cdot\dfrac{3}{5}yz+\dfrac{1}{8}\cdot\dfrac{1}{2}z^{2}=...$ $...=\dfrac{6}{25}y^{2}+\dfrac{1}{5}yz+\dfrac{3}{40}yz+\dfrac{1}{16}z^{2}=...$ $...=\dfrac{6}{25}y^{2}+\dfrac{11}{40}yz+\dfrac{1}{16}z^{2}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.