Chapter A.5, Problem 35AYU

To determine

To find: Simplify the given in factored form.

Answer to Problem 35AYU

$\frac{19}{{\left(3x-5\right)}^2}$

Explanation of Solution

Given:

$\frac{\left(2x+3\right).3-\left(3x-5\right).2}{{\left(3x-5\right)}^2}$

Calculation:

$\frac{\left(2x+3\right).3-\left(3x-5\right).2}{{\left(3x-5\right)}^2}=\frac{\left(6x+9\right)-\left(6x-10\right)}{{\left(3x-5\right)}^2}=\frac{19}{{\left(3x-5\right)}^2}$