Chapter A.5, Problem 14AYU

To determine

To find: Simplify the given to factored form.

Answer to Problem 14AYU

$\frac{3x}{4\left(3x+5\right)}$

Explanation of Solution

Given:

$\frac{3}{2x}\cdot \frac{x^2}{6x+10}$

Calculation:

$\frac{3x^2}{2x\left(6x+10\right)}=\frac{3x^2}{12x^2+20x}=\frac{3x^2}{4x\left(3x+5\right)}=\frac{3x}{4\left(3x+5\right)}$