Add and Subtract Rational Expressions
-$$\frac { 2 } { x ^ { 2 } - 3 x + 2 } + \frac { 7 } { x ^ { 2 } - 1 }$$

Question

Quizplus · Accepted Answer

To add the given rational expressions, first factor the denominators: $x^2 - 3x + 2 = (x - 1)(x - 2)$ and $x^2 - 1 = (x + 1)(x - 1)$. The least common denominator (LCD) is $(x - 1)(x + 1)(x - 2)$. Adjust the numerators accordingly to have a common denominator, then add the fractions. The correct sum is $\frac{9x - 12}{(x - 1)(x + 1)(x - 2)}$.

Add and Subtract Rational Expressions - 2x2−3x+2+7x2−1\frac { 2 } { x ^ { 2 } - 3 x + 2 } + \frac { 7 } { x ^ { 2 } - 1 }x2−3x+22​+x2−17​

Add and Subtract Rational Expressions
- $\frac { 2 } { x ^ { 2 } - 3 x + 2 } + \frac { 7 } { x ^ { 2 } - 1 }$