### Home > PC3 > Chapter 3 > Lesson 3.1.5 > Problem3-78

3-78.

Compute the following operations with rational expressions.

1. $\frac { x + 2 } { x - 1 } + \frac { x } { x + 1 }$

$\frac{(x+2)(x+1)}{(x-1)(x+1)}+\frac{(x)(x-1)}{(x+1)(x-1)}$

$\large\frac{(x^2+x+2x+2)+(x^2-x)}{x^2+x-x-1}$

$\large\frac{2x^2+2x+2}{x^2-1}$

1. $\frac { c } { a - b } + \frac { c } { a + b }$

Review the steps outlined in part (a).

1. $\frac { x + 2 } { 3 x } - \frac { x + 1 } { 6 x ^ { 2 } }$

Use a Giant $1$ of $\frac{2x}{2x}$ for the first fraction to create a common denominator.