Add and Subtract Rational Expressions
-$$\frac { 4 x } { x + 1 } + \frac { 5 } { x - 1 } - \frac { 8 } { x ^ { 2 } - 1 }$$

Question

Quizplus · Accepted Answer

The correct answer is A because the least common denominator of the three fractions is (x + 1)(x - 1), so the expression becomes:$\frac { 4 x } { x + 1 } + \frac { 5 } { x - 1 } - \frac { 8 } { x ^ { 2 } - 1 } = \frac { 4 x ( x - 1 ) } { ( x + 1 ) ( x - 1 ) } + \frac { 5 ( x + 1 ) } { ( x - 1 ) ( x + 1 ) } - \frac { 8 } { ( x + 1 ) ( x - 1 ) } = \frac { 4 x ^ { 2 } - 4 x + 5 x + 5 - 8 } { ( x + 1 ) ( x - 1 ) } = \frac { 4 x ^ { 2 } + x - 3 } { ( x + 1 ) ( x - 1 ) } = \frac { ( 4 x - 3 ) } { ( x - 1 ) }$

Add and Subtract Rational Expressions - 4xx+1+5x−1−8x2−1\frac { 4 x } { x + 1 } + \frac { 5 } { x - 1 } - \frac { 8 } { x ^ { 2 } - 1 }x+14x​+x−15​−x2−18​

Add and Subtract Rational Expressions
- $\frac { 4 x } { x + 1 } + \frac { 5 } { x - 1 } - \frac { 8 } { x ^ { 2 } - 1 }$