I need to reduce the expression to the lowest terms, but I'm not entirely sure what that means in this case? Should I factor everything that I can and cancel everything I can and that's it? Or should I factor and cancel than solve again? Should I cancel as much as I can even if it means splitting up the expression? I'm going to post a picture of the problem and the answer I think it is (but I'm not sure). I came up with a bunch but I feel like this is the only one where I'm not complicating myself.

Question

ulysses · Answer

|dw:1471213862212:dw|

ulysses · Answer

Please help

legomyego180 · Answer

$$\frac{ (x^2+2)8-(8x+9)3x }{ (x^2+2)^3 }$$

ulysses · Answer

That was the question.

legomyego180 · Answer

Its a simplification problem. They give you a problem and want you to make it look pretty essentially. This problem in particular is really testing you on distributive skills.
Lets work through it...

legomyego180 · Answer

For now lets ignore the denominator and just look at the terms in the numerator.
Im going to rewrite the numerator so the numbers we will be distributing are in front of the parentheeses.

$$8(x^2+2)-3x(8x+9)$$

Following so far?

legomyego180 · Answer

Actually, from your answer you gave above it looks like you're already doing this right.

ulysses · Answer

I was pretty sure I was doing it write, I just didn't know the extent