Divide ((m-4)/(m+4))÷(m+2)

$\frac{m - 4}{m + 4} \div (m + 2)$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{m - 4}{m + 4}}{m + 2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{m - 4}{m + 4} \cdot \frac{1}{m + 2}$

Step 3

Multiply $\frac{m - 4}{m + 4}$ by $\frac{1}{m + 2}$ .

$\frac{m - 4}{(m + 4) (m + 2)}$

Step 4

Split the fraction $\frac{m - 4}{(m + 4) (m + 2)}$ into two fractions.

$\frac{m}{(m + 4) (m + 2)} + \frac{- 4}{(m + 4) (m + 2)}$

Step 5

Move the negative in front of the fraction.

$\frac{m}{(m + 4) (m + 2)} - \frac{4}{(m + 4) (m + 2)}$