Question

factor, then simplify.
\\(\frac{x + 2}{x - 3} \cdot \frac{x^2 - 9}{x^2 - 3x - 10} =\\)

Explanation:

Step1: Factor all polynomial terms

$\frac{x+2}{x-3} \cdot \frac{(x-3)(x+3)}{(x-5)(x+2)}$

Step2: Cancel common factors

Cancel $(x+2)$ and $(x-3)$ from numerator and denominator

Step3: Simplify the remaining terms

$\frac{x+3}{x-5}$

Answer:

$\frac{x+3}{x-5}$ (where $x
eq -2, 3, 5$ to avoid division by zero)