Question

Which expression is equivalent to ? m-4/m+4 / (m+2)

Answer 1

Answer:

$\frac{m - 4}{m + 4} / (m + 2)$ is equivalent to   $\frac{(m - 4)}{(m + 4)(m + 2)}$

Step-by-step explanation:

Given Parameters;

(m-4)/(m+4) and (m+2)

Required:

To divide and write out the equivalent expression.

Two or more expressions are said to equivalent if and only if they give the same result.

Solving (m-4)/(m+4) divided by (m+2)

We have

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

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

Convert division to multiplication

$= \frac{m - 4}{m + 4} *\frac{1}{(m + 2)}$

= $\frac{(m - 4) * 1}{(m + 4) * (m + 2)}$

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

We can't simplify any further;

Hence, $\frac{m - 4}{m + 4} / (m + 2)$ is equivalent to   $\frac{(m - 4)}{(m + 4)(m + 2)}$

To check if this is true

Let m = 1

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

$\frac{1 - 4}{1 + 4} / (1 + 2)$

$\frac{-3}{5} / (3)$

$\frac{-3}{5} * \frac{1}{3}$

$\frac{-1}{5}$

And

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

$\frac{(1 - 4)}{(1 + 4)(1 + 2)}$

$\frac{(-3)}{(5)(3)}$

$\frac{-1}{5}$

Hence, $\frac{m - 4}{m + 4} / (m + 2)$ is equivalent to   $\frac{(m - 4)}{(m + 4)(m + 2)}$

Answer 2

Im guessing its B but im not sure