Question

Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by StartFraction m squared minus 9 Over m + 4 EndFraction

Answer 1

Answer:

$\frac{1}{(m - 4)(m + 3)}$

Step-by-step explanation:

We want to find an expression that is equivalent to

$\frac{m + 3}{ {m}^{2} - 16} \div \frac{ {m}^{2} - 9 }{m + 4}$

First, multiply by the reciprocal of the second fraction.

$\frac{m + 3}{ {m}^{2} - 16} \times \frac{m + 4}{ {m}^{2} - 9 }$

We now factor to obtain:

$\frac{m + 3}{ (m + 4)(m - 4)} \times \frac{m + 4}{(m + 3)(m - 3)}$

We cancel common factors to get:

$\frac{1}{ m - 4} \times \frac{1}{m - 3} = \frac{1}{(m - 4)(m + 3)}$

Answer 2

Answer:

The answer is B

Step-by-step explanation:

I did the Quiz,  got it right