Which expression is equivalent to StartFraction m minus 4 Over m + 4 EndFraction divided by (m + 2) ? StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction StartFraction (m +…

Question

asked Oct 4, 2021 173k views

2 Answers

Tguzella · Answer 1 · 2021-10-08T13:23:47+0000

Expression
(m+4)/(m−4) /(m+2) is equivalent to
((m - 4) )/((m + 4) (m + 2)) . So, Option A is the right choice.

To answer this question, we can use the following steps:

Rewrite the division as multiplication by the reciprocal.

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

Multiply the two numerators and multiply the two denominators.

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

Simplify the expression.

$\frac{(m-4) * 1} {(m+4) * (m+2)} = (m-4)/(m^2+6m+8)$

Therefore, the only expression that is equivalent to
(m+4)/(m−4) /(m+2) is:
(m-4)/(m^2+6m+8)

So the answer is:
((m - 4) )/((m + 4) (m + 2)) Option A is the right choice.