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
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$\displaystyle (a+h)^3 = a^3+3a^2h+3ah^2+h^3 $
I dont know where the 3a^2h + 3ah^2 come from....
$\displaystyle (a+h)^3 = (a+h)(a+h)(a+h) = (a+h)(a^2+2ah+h^2) = a^3+3a^2h+3ah^2+h^3$
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