Chapter 11.2, Problem 1P

Multiply.

$\frac{2-z}{4+5z}\cdot \frac{3}{z}$

To determine

To multiply : the expression

Answer to Problem 1P

The value of $\frac{2-z}{4+5z}\cdot \frac{3}{z}$ is $\frac{6-3z}{4z+5z^2}$

Explanation of Solution

Given information : The expression is $\frac{2-z}{4+5z}\cdot \frac{3}{z}$

Calculation :

  $\begin{array}{l}\frac{2-z}{4+5z}\cdot \frac{3}{z}\\ \Rightarrow \frac{\left(2-z\right)3}{\left(4+5z\right)z}\\ \Rightarrow \frac{6-3z}{4z+5z^2}\end{array}$