Question

What is the answer?

Answer 1

The first one.

Explanation:

When you divide by a fraction, you need to switch the sign to multiply and switch the fraction over. Then you can eliminate the similar factors which is (x+2)(x-3) leaving behind the answer which is 1.

Answer 2

`5/(x+4)`

Explanation:

This is an interesting problem

We must consider:

`((f(x) / g(x)) ) / (((h(x)) / (u(x)) )` = `(f(x) / (g(x) )) * (1 / ( (h(x))/(u(x)) ))`

`=> ( f(x)/(g(x) )) * ( (u(x))/(h(x) ))`

So hence our problem becomes:

`=> ((x+2)(x-3) )/ (x+4) * 5 / ((x+2)(x-3)`

Using our algebra knowledge:

`=> (cancel((x+2)(x-3)) )/ (x+4) * 5 / (cancel((x+2)(x-3))`

`=> 5/(x+4)`