Express as a single fraction n/(n-3) - n/(n+2)

[Gringo123]

n/(n-3) - n/(n+2)

I have tried to solve this by giving n a value. I chose n = 6, which gives:

6/3 - 6/8

The LCM of 3 and 8 is 24 so...

6/3 - 6/8 = 48/24 - 18/24 which gives 30/24

Final answer = 5/4

Is that the correct answer and have I used the correct method of solving the problem?

 

[tiny-tim]

Hi Gringo123!

n/(n-3) - n/(n+2)

I have tried to solve this by giving n a value. I chose n = 6, which …

Sorry, but that's madness.

The question is asking for p(n)/q(n), where p and q are both polynomials in n.

(For example, 1/(n-1) + 1/(n+1) = 2n/(n²-1). )

 

[Rajini]

Yes for n=6 your solution is correct. But n can take few more values to get a fraction.

 

[Gringo123]

I think I have it now
ans = 5n / (n-3)(n+2)

 

[tiny-tim]

Yup!