Question

How does this equation simplify into this?

f(x) = (x^2+3)^2 (-12) - (-12x) (2) (x^2 + 3) (2x) / (x^2+3)^4

Simplified is:

f(x) = 36 (x^2-1) / (x^2 + 3)^3

I just don't get it. I tried like 10 times... :( Can somebody help?

Answer 1

Well, you can take out (x^2+3)^1 out of the top two, leaving *x^2+3)^3 on the botom

Answer 2

This leaves you with -12 - 24x on the top

Answer 3

Sry and there is also one (x^2_3)^1 becaause only one is taken out from the top

Answer 4

I don't get what KirbyLegs said...

Answer 5

Do you know how to cross out like terms on the top and bottom of a division line?

Answer 6

yes. but can't you cross out (x^2+3)^2 from both the top and the bottom? which leaves one (x^2+3) on top and (x^2+3)^2 on the bottom?

Answer 7

You are not crossing out (x^2+3)^2. You are crossing out (x^2+3)^1

Answer 8

oh okay. let me try it that way.

Answer 9

i'm simplifying other stuff too

Answer 10

i got -12(x^2+3)^2 + 48x^2 / (x^2+3)^3

Answer 11

You have to divide (x^2+3)^1 from each term. Yours should be to the power of 1, not 2

Answer 12

i don't see it... but i think i will skip this for now... :( thanks for helping