Add and Subtract Rational Expressions
-$$\frac { 10 x - 2 } { x ^ { 2 } + 2 x - 15 } - \frac { 9 x + 1 } { x ^ { 2 } + 2 x - 15 }$$

Question

Quizplus · Accepted Answer

The denominators are the same, so subtract the numerators: $(10x - 2) - (9x + 1) = x - 3$. The expression simplifies to $\frac{x - 3}{x^2 + 2x - 15}$. Factor the denominator: $x^2 + 2x - 15 = (x - 3)(x + 5)$. Cancel $x - 3$ from numerator and denominator, resulting in $\frac{1}{x + 5}$.

Add and Subtract Rational Expressions - 10x−2x2+2x−15−9x+1x2+2x−15\frac { 10 x - 2 } { x ^ { 2 } + 2 x - 15 } - \frac { 9 x + 1 } { x ^ { 2 } + 2 x - 15 }x2+2x−1510x−2​−x2+2x−159x+1​

Add and Subtract Rational Expressions
- $\frac { 10 x - 2 } { x ^ { 2 } + 2 x - 15 } - \frac { 9 x + 1 } { x ^ { 2 } + 2 x - 15 }$