Answer
$\frac{7}{y}$
Work Step by Step
Given.
$\frac{y^3+y^2}{7}\cdot\frac{49}{y^4+y^3}$
Factor each rational expression.
$=\frac{y^2(y+1)}{7}\cdot\frac{7\cdot7}{y^3(y+1)}$
Cancel the common factors then multiply.
$=\frac{7}{y}$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter R - Section R.5 - Rational Expressions - R.5 Exercises - Page 47: 28
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