Question

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

Answer 1

im guessing its B but im not sure

Answer 2

`(m - 4)/(m + 4) / (m + 2)` is equivalent to
`((m - 4))/((m + 4)(m + 2))`

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

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

`= (m - 4)/(m + 4) / (m + 2)`

Convert division to multiplication

`= (m - 4)/(m + 4) *(1)/((m + 2))`

=
`((m - 4) * 1)/((m + 4) * (m + 2))`

`= ((m - 4))/((m + 4)(m + 2))`

We can't simplify any further;

Hence,
`(m - 4)/(m + 4) / (m + 2)` is equivalent to
`((m - 4))/((m + 4)(m + 2))`

To check if this is true

Let m = 1

`(m - 4)/(m + 4) / (m + 2)` becomes

`(1 - 4)/(1 + 4) / (1 + 2)`

`(-3)/(5) / (3)`

`(-3)/(5) * (1)/(3)`

`(-1)/(5)`

And

`((m - 4))/((m + 4)(m + 2))` becomes

`((1 - 4))/((1 + 4)(1 + 2))`

`((-3))/((5)(3))`

`(-1)/(5)`

Hence,
`(m - 4)/(m + 4) / (m + 2)` is equivalent to
`((m - 4))/((m + 4)(m + 2))`