Question

simplify.
\frac{4y + 24}{7y^2 + 42y}

Explanation:

Step1: Factor numerator

$4y + 24 = 4(y + 6)$

Step2: Factor denominator

$7y^2 + 42y = 7y(y + 6)$

Step3: Cancel common factor

$\frac{4(y + 6)}{7y(y + 6)} = \frac{4}{7y}$ (where $y
eq -6, 0$)

Answer:

$\frac{4}{7y}$ (with restrictions $y
eq 0, y
eq -6$)