Chapter A.5, Problem 36AYU

To determine

To find: Simplify the given in factored form.

Answer to Problem 36AYU

$\frac{13}{{\left(5x-2\right)}^2}$

Explanation of Solution

Given:

$\frac{\left(4x+1\right).5-\left(5x-2\right).4}{{\left(5x-2\right)}^2}$

Calculation:

$\frac{\left(4x+1\right).5-\left(5x-2\right).4}{{\left(5x-2\right)}^2}=\frac{\left(20x+5\right)-\left(20x-8\right)}{{\left(5x-2\right)}^2}=\frac{13}{{\left(5x-2\right)}^2}$