Question

Hey everyone,
Could someone help me on this question , i got stumped again =/

Simplify: [2(x+1)^3/2 (6x+4) - 3(3x^2+4x)(x+1)^1/2]/[4(x+1)^3]

Answer: 3x^2+8x+8/ 4(x+1)^5/2

Answer 1

\[2(x+1)^{3/2}(6x+4) -3(3x ^{2}+4x)(x+1)^{1/2} / 4(x+1)^{3}\]

Answer 2

your going to simplify it?

Answer 3

Yea, kinda got stumped on how they got 5/2 as the exponent on the bottom

Answer 4

Well, lets just consider that part
\[\frac{(x+1)^{1/2}}{(x+1)^3}=(x+1)^{1/2-3} = (x+1)^{-5/2}\]
Hmmm, so your wondering why they get a - there? Because that's what I get :)

Answer 5

Oh ic, though the answer is +5/2 as the exponent, wierd.

Answer 6

weird*

Answer 7

It's correct,
\[(x+1)^{-5/2} = \frac{1}{(x+1)^{5/2} }\]

Answer 8

Thought it was a product you had written on top.

Answer 9

Ohh okay then that makes sense thanks a lot for your help

Answer 10

no worries:)