Use algebra to evaluate the limit.
lim(h--0) 3(2+h)^2 -12/h
(3 times 2+h squared minus 12 over h)

Question

Use algebra to evaluate the limit.
lim(h-->0) 3(2+h)^2 -12/h
(3 times 2+h squared minus 12 over h)

anonymous · Answer

Hint: expand the numerator, and cancel out $h$ from the denominator.

anonymous · Answer

i know you have to expand i forgot how to expand 3(2+h)^2

anonymous · Answer

Use the FOIL method:
$$3(\color{blue}{2}+\color{orange}{h})^2=3 \left[ \color{blue}{2} \cdot \color{blue}{2} + \color{blue}{2} \cdot \color{orange}{h} + \color{orange}{h} \cdot  \color{blue}{2} +\color{orange}{h} \cdot \color{orange}{h}  \right] = 3[4 + 4h + h^2]= \cdots$$look familiar?