## Finite Math and Applied Calculus (6th Edition)

a. $\ \ \ h(2x+h)$ b. $\ \ \ 2x+h$
a. $f(x+h)=(x+h)^{2}=\quad$ ...square of a sum $f(x+h)=x^{2}+2xh+h^{2}$ $f(x+h)-f(x)=x^{2}+2xh+h^{2}-x^{2}$ $=2xh+h^{2}=h(2x+h)$ b. using th eresult of (a), $\displaystyle \frac{f(x+h)-f(x)}{h}=\frac{h(2x+h)}{h}=\quad$ .. reduce h, $=2x+h$