# Darryl

### Homework 2 due 17 March

Simplify the following:

1. $\displaystyle \frac{5a+4b}{2}+\frac{2b-3a}{3}$
2. $\displaystyle \frac{cd^2}{3} \times \frac{ce}{4} \div \frac{cde}{2}$
3. $\displaystyle \frac{x-y}{2a-3b} \div \frac{x^2-y^2}{4a-6b}$
4. $\displaystyle \frac{x^2-25}{x^2-2x-15}$
5. $\displaystyle 1 – \frac{x-2}{x+3}$
6. $\displaystyle \frac{1}{x+3}-\frac{2-3x}{3x^2+7x-6}+\frac{3}{x^2-9}$
7. $\displaystyle \frac{3b^3ac^2}{2c} \div \frac{18}{c^2} \times \frac{a^2b}{b^4a^3}$
8. $\displaystyle \frac{3x}{2x^2-9x-5}-\frac{2}{x-5}$