Chapter A.5, Problem 38AYU

To determine

To find: Simplify the given in factored form.

Answer to Problem 38AYU

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

Explanation of Solution

Given:

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

Calculation:

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