Question

\\\frac{4x + 16}{x^2 + 9x + 20}\\
\\\frac{?}{x + }\\

Explanation:

Factor the numerator

$$ 4x + 16 = 4(x + 4) $$

Factor the denominator

$$ x^2 + 9x + 20 = (x + 4)(x + 5) $$

Simplify the expression

$$ \frac{4(x + 4)}{(x + 4)(x + 5)} = \frac{4}{x + 5} \quad (x eq -4) $$

Answer:

Simplify the expression:

$$ \frac{4x + 16}{x^2 + 9x + 20} $$

The simplified expression is <blank>\(\frac{4}{x + 5}\)</blank>.