CPM Homework Help : INT3 Problem 11-31

Apply the procedures your team developed for adding fractions to add these rational expressions.

$\frac { 2 x } { x - 1 } + \frac { 3 } { x + 5 }$

Hint 1:

The common denominator is $\left(x − 1\right)\left(x + 5\right)$ .

Hint 2:

$\frac{2x\left(x+5\right)}{\left(x-1\right)\left(x+5\right)}+\frac{3\left(x-1\right)}{\left(x+5\right)\left(x-1\right)}$

Answer:

$\frac{2x^2+13x-3}{(x-1)(x+5)}$