# Thread: Expanding and simplifying quotients

1. ## Expanding and simplifying quotients

Expand and simplify the following quotient then evaluate for a=-3 and h=0.01.

1. (a+h)^3 - a^3 / h

I did

a^3 + 2ah + h^3 - a^3 / h

2ah+h^3 /h

2a+h^2

2. $
(a+h)^3 = a^3+3a^2h+3ah^2+h^3
$

3. I dont know where the 3a^2h + 3ah^2 come from....

4. $(a+h)^3 = (a+h)(a+h)(a+h) = (a+h)(a^2+2ah+h^2) = a^3+3a^2h+3ah^2+h^3$