Question

Which expression is equivalent to the expression below?

Answer 1

it is the last answer you can tell by simplyfiying

Answer 2

C.
`(1)/((m-4)(m-3))`

Explanation:

First note that

`m^2-16=(m+4)(m-4) \quad \text {and} \quad m^2-9=(m+3)(m-3)`

On the other hand, the expression from the question is equivalent to

`(m+3)/(m^2-16) \cdot (m+4)/(m^2-9)=(m+3)/((m+4)(m-4))(m+4)/((m+3)(m-3))`

we cancel the equal terms in the numerator and the denominator and finally we get that our expression is equivalent to

`(1)/((m-4)(m-3))`