Question

how do you simplify this?

\[[-(a+h)^{3}-4(a+h)^{2}+2(a+h)+3]-[-a ^{3}-4a ^{2}+2a+3] \over h\]

Answer 1

U do some tedious algebra or u ask Wolfram

http://www.wolframalpha.com/input/?i=%28%28-%28a%2Bh%29^%283%29-4%28a%2Bh%29^%282%29%2B2%28a%2Bh%29%2B3%29-%28-a+^%283%29-4a+^%282%29%2B2a%2B3%29%29+%2Fh%29

Answer 2

Just expand everything in the numerator and the majority will cancel out.
Then factor out an H from the numerator to cancel out the denominator.
What you should be left with is -(3a^2+3ah+h^2+8a+4h)

Answer 3

for some reason i got h^2+4h-2..