Q. 5.75 - Intermediate Algebra

Question

Find the quotient $\left(32a^{2}b-16a{b}^2\right)÷\left(-8ab\right)$

Step-by-Step Solution

Answer

The quotient is $-4a+2b$

Step 1. Given information

$\left(32a^{2}b-16a{b}^2\right)÷\left(-8ab\right)$

Step 2. Divide the polynomial

Rewrite as fraction

$\frac{\left(32a^{2}b-16a{b}^2\right)}{\left(-8ab\right)}$
Divide each term by the divisor.

$\frac{32a^{2}b}{-8ab}-\frac{16a{b}^2}{-8ab}$

Simplify

$-4a+2b$