Question

simplify the following rational expression.

\\\frac{8x - 56}{x^2 - 2x - 35}\\

\\\frac{?}{x + }\\

Explanation:

Factor the numerator

$$ 8x - 56 = 8(x - 7) $$

Factor the denominator

$$ x^2 - 2x - 35 = (x - 7)(x + 5) $$

Simplify the expression

$$ \frac{8(x - 7)}{(x - 7)(x + 5)} = \frac{8}{x + 5} \quad (x eq 7) $$

Answer:

Simplify the following rational expression.

$$\frac{8x - 56}{x^2 - 2x - 35}$$

The simplified expression is <blank>\(\frac{8}{x + 5}\)</blank>.