Operating with Rational Expressions Practice Test

Add and simplify to lowest terms. Since rational expressions are closed under addition, the sum is also a rational expression (for allowed $x$ values).

Add: $\displaystyle \frac{2}{x-3}+\frac{5}{x+2}$

What is the LCD (least common denominator) for the rational expressions $\displaystyle \frac{3}{x^2-4}$ and $\displaystyle \frac{2}{x^2+4x+4}$? (Factoring first is recommended.)