Chapter A.5, Problem 32AYU

To determine

To find: Simplify the given in factored form.

Answer to Problem 32AYU

$\frac{4x^2+1}{3x^2-1}$

Explanation of Solution

Given:

$\frac{4+\frac{1}{x^2}}{3-\frac{1}{x^2}}$

Calculation:

$\frac{4+\frac{1}{x^2}}{3-\frac{1}{x^2}}=\frac{\frac{4x^2+1}{x^2}}{\frac{3x^2-1}{x^2}}=\frac{4x^2+1}{x^2}\cdot \frac{x^2}{3x^2-1}=\frac{4x^2+1}{3x^2-1}$