What is the answer?

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2 Answers
Dec 16, 2017

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.

Dec 16, 2017

#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) #