which expression is equivalent to $\frac{m - 4}{m + 4}div(m + 2)$?\n$\frac{m - 4}{(m + 4)(m +…

which expression is equivalent to $\frac{m - 4}{m + 4}div(m + 2)$?\n$\frac{m - 4}{(m + 4)(m + 2)}$\n$\frac{(m + 4)(m + 2)}{m - 4}$\n$\frac{(m - 4)(m + 2)}{m + 4}$\n$\frac{m + 4}{(m - 4)(m + 2)}$

which expression is equivalent to $\frac{m - 4}{m + 4}div(m + 2)$?\n$\frac{m - 4}{(m + 4)(m + 2)}$\n$\frac{(m + 4)(m + 2)}{m - 4}$\n$\frac{(m - 4)(m + 2)}{m + 4}$\n$\frac{m + 4}{(m - 4)(m + 2)}$

Answer

Explanation:

Step1: Rewrite division as multiplication

Dividing by a number is the same as multiplying by its reciprocal. So $\frac{m - 4}{m+4}\div(m + 2)$ is equivalent to $\frac{m - 4}{m+4}\times\frac{1}{m + 2}$.

Step2: Multiply the fractions

When multiplying fractions, we multiply the numerators together and the denominators together. So $\frac{m - 4}{m+4}\times\frac{1}{m + 2}=\frac{m - 4}{(m + 4)(m+2)}$.

Answer:

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