### Home > PC3 > Chapter 5 > Lesson 5.2.5 > Problem5-127

5-127.

This problem is a checkpoint for operations with rational expressions and complex fractions. Simplify each of the following expressions. Be sure to state any necessary restrictions of the variable(s).

1. $\frac { x ^ { 2 } - 1 } { x ^ { 2 } - 6 x - 7 } \div \frac { x ^ { 3 } + x ^ { 2 } - 2 x } { x - 7 }$

1. $\frac { 7 x - 1 } { x ^ { 2 } - 2 x - 3 } - \frac { 6 x + 1 } { x ^ { 2 } - x - 2 }$

1. $\frac { \frac { 1 } { a } + \frac { 2 } { b } } { \frac { 2 } { a } + \frac { 1 } { b } }$