SOLUTION: g(2+h)=x to the third the instructor gave us x=(2+h) and the answer 8+12h+6h suared+h to the third i haven't been able to get that as my answer. here's what I have done: g(2+h

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: g(2+h)=x to the third the instructor gave us x=(2+h) and the answer 8+12h+6h suared+h to the third i haven't been able to get that as my answer. here's what I have done: g(2+h      Log On


   

Question 152517: g(2+h)=x to the third
the instructor gave us x=(2+h)
and the answer 8+12h+6h suared+h to the third
i haven't been able to get that as my answer.
here's what I have done:
g(2+h)=x to the third
g=(2+h)to the third
g=(2+h)(2+h)(2+h)
g=4+2h+2h+hsquared(2+h)
g=8+4h+4h+2h+2h+2hsquared+h to the third
g=8+12h+2hsquared+h to the third
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think I understand what you mean.
g%28x%29=x%5E3
Let x=2+h,
g%282%2Bh%29=%282%2Bh%29%5E3
g%282%2Bh%29=%282%2Bh%29%2A%282%2Bh%29%2A%282%2Bh%29
Let's break it down a little and work on %282%2Bh%29%2A%282%2Bh%29 first.
Use the FOIL (First, Outer, Inner, Last) method,
First : %28highlight%282%29%2Bh%29%28highlight%282%29%2Bh%29=%282%29%282%29=4
Outer : %28highlight%282%29%2Bh%29%282%2Bhighlight%28h%29%29=%282%29%28h%29=2h
Inner : %282%2Bhighlight%28h%29%29%28highlight%282%29%2Bh%29=%28h%29%282%29=2h
Outer : %282%2Bhighlight%28h%29%29%282%2Bhighlight%28h%29%29=%28h%29%28h%29=h%5E2
Add them all together,
%282%2Bh%29%2A%282%2Bh%29=4%2B2h%2B2h%2Bh%5E2
%282%2Bh%29%2A%282%2Bh%29=4%2B4h%2Bh%5E2
Now substitute that back in,
g%282%2Bh%29=%282%2Bh%29%2A%282%2Bh%29%2A%282%2Bh%29
g%282%2Bh%29=%284%2B4h%2Bh%5E2%29%2A%282%2Bh%29
Distribute the %282%2Bh%29 term,
g%282%2Bh%29=4%282%2Bh%29%2B4h%282%2Bh%29%2Bh%5E2%282%2Bh%29
g%282%2Bh%29=%288%2B4h%29%2B%288h%2B4h%5E2%29%2B%282h%5E2%2Bh%5E3%29
g%282%2Bh%29=8%2B12h%2B6h%5E2%2Bh%5E3