### MATH 100 Quiz 2

**Name:**

You may use a calculator on this quiz. You may not use a cell phone or
computer. To receive full credit please show your work carefully and
give justifications for your answers. If you find that you are
spending a lot of time on one problem, leave it blank and move on to
the next.

- (20 points) simplify (27x
^{3})^{1/3}.

- (20 points) Simplify (x - 2) (x
^{2} + 3) + (x + 6).

- (20 points) Expand (5x + 4)
^{2}.

- (20 points) Factor completely: 8x
^{3} - 8x.

- (20 points) Subtract the rational expressions: 4/(x+4) - 5/(x+3).

**Bonus** (5 points) Perform the division of rational expressions:
(12x^{2}+16)/(x-4) ÷ (15x^{2}+20)/(x^{2}-16).