Chapter 5 - Exponents and Polynomials - 5.4 - Dividing by Monomials - Problem Set 5.4 - Page 212: 47

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

$\frac{15a^{3}b - 35a^{2}b - 65ab^{2}}{-5ab}$ = 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