Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.4 - Dividing by Monomials - Problem Set 5.4: 47

Answer

-3$a^{2}$ + 7a + 13b

Work Step by Step

$\frac{15a^{3}b - 35a^{2}b - 65ab^{2}}{-5ab}$ = RECALL: $\frac{b^{n}}{b^{m}}$ = $b^{n-m}$ So, $\frac{15a^{3}b - 35a^{2}b - 65ab^{2}}{-5ab}$ = $\frac{15a^{3}b}{-5ab}$ + $\frac{-35a^{2}b}{-5ab}$ + $\frac{-65ab^{2}}{-5ab}$ = $\frac{15}{-5}$$a^{3-1}$$b^{1-1}$ + $\frac{-35}{-5}$$a^{2-1}$$b^{1-1}$ + $\frac{-65}{-5}$$a^{1-1}$$b^{2-1}$ = -3$a^{2}$ + 7a + 13b
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.