Question

warm-up
rewrite the expression in simplest form.
\\(\frac{x^2 + 2x}{x^2 - 3x - 10}\\)
enter the correct answer in the box.

Explanation:

Step1: Factor numerator

$x^2 + 2x = x(x + 2)$

Step2: Factor denominator

$x^2 - 3x - 10 = (x - 5)(x + 2)$

Step3: Cancel common factors

$\frac{x(x + 2)}{(x - 5)(x + 2)} = \frac{x}{x - 5}$ (where $x
eq -2, 5$)

Answer:

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