To add or subtract fractions:
$\displaystyle\frac{2}{x+3}  \frac{3x}{x1}$  (original expression) 
$\displaystyle\ \ = \frac{2}{x+3}\cdot\frac{x1}{x1}  \frac{3x}{x1}\cdot\frac{x+3}{x+3}$  (get a common denominator by multiplying by $\,1\,$) 
$\displaystyle\ \ = \frac{2(x1)3x(x+3)}{(x+3)(x1)}$  (keep the denominator the same; add the numerators) 
$\displaystyle\ \ = \frac{2x23x^2  9x}{(x+3)(x1)}$  (multiply out the numerator) 
$\displaystyle\ \ = \frac{3x^2  7x  2}{(x+3)(x1)}$  (combine like terms; write numerator in standard form) 
CONCEPT QUESTIONS EXERCISE:
On this exercise, you will not key in your answer.However, you can check to see if your answer is correct. 
PROBLEM TYPES:
