Question

perform the following operation and express in simplest form.
$\frac{5x + 25}{x^3 - x^2} cdot \frac{x^2 - 1}{x^2 + 6x + 5}$

Explanation:

Step1: Factor all expressions

$\frac{5(x+5)}{x^2(x-1)} \cdot \frac{(x-1)(x+1)}{(x+1)(x+5)}$

Step2: Cancel common factors

Cancel $(x+5)$, $(x-1)$, and $(x+1)$ from numerator and denominator:
$\frac{5}{x^2}$

Answer:

$\frac{5}{x^2}$ (where $x
eq -5, -1, 0, 1$ to avoid division by zero)