Chapter A, Problem 82E

Use the following equation for Exercises 81-84.

$\begin{array}{l}{\left(x+h\right)}^3=\left(x+h\right){\left(x+h\right)}^2\\ =\left(x+h\right)\left(x^2+2xh+h^2\right)\\ =\left(x+h\right)x^2+\left(x+h\right)2xh+\left(x+h\right)h^2\\ =x^3+x^{2}h+2x^{2}h+2x{h}^2+x{h}^2+h^3\\ =x^3+3x^{2}h+3x{h}^2+h^3\end{array}$

${\left(a-b\right)}^3$