Chapter 6, Problem 1RP

Simplify.

$\frac{6x^3-9x^2}{12x^2-18x}$

To determine

To calculate: Simplify the given expression $\frac{6x^3-9x^2}{12x^2-18x}$.

Answer to Problem 1RP

Solution:

The simplification of the expression $\frac{6x^3-9x^2}{12x^2-18x}$ is $\frac{x}{2}$.

Explanation of Solution

Calculation:

The provided expression is written as,

$\begin{array}{c}\frac{6x^3-9x^2}{12x^2-18x}=\frac{3x^2\left(2x-3\right)}{6x\left(2x-3\right)}\\ =\frac{x}{2}\end{array}$

Hence, the value of the expression $\frac{6x^3-9x^2}{12x^2-18x}$ is $\frac{x}{2}$.