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 152518: 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 Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2Bh%29%5E3+=+%282%2Bh%29%282%2Bh%29%282%2Bh%29 You are ok up to this point.
%282%2Bh%29%282%2Bh%29+=+4%2B2h%2B2h%2Bh%5E2 which simplifies to 4%2B4h%2Bh%5E2 Now you multiply this by %282%2Bh%29
%284%2B4h%2Bh%5E2%29%282%2Bh%29+=+8%2B8h%2B2h%5E2%2B4h%2B4h%5E2%2Bh%5E3 Combining like-terms, you get:
8%2B12h%2B6h%5E2%2Bh%5E3 So...
g%282%2Bh%29+=+8%2B12h%2B6h%5E2%2Bh%5E3