Perform the indicated operation. Simplify if possible.
-$\frac { x } { x ^ { 2 } + 3 x - 10 } - \frac { 2 } { x ^ { 2 } + 3 x - 10 }$
A) $x + 5$
B) $x - 2$
C) $\frac { 1 } { 2 ( x + 5 ) }$
D) $\frac { 1 } { x + 5 }$

Question

Quizplus · Accepted Answer

The given expression can be simplified by combining the fractions since they have the same denominator: $\frac{x - 2}{x^2 + 3x - 10}$. Factoring the denominator gives $\frac{x - 2}{(x + 5)(x - 2)}$, which simplifies to $\frac{1}{x + 5}$.

Perform the Indicated Operation xx2+3x−10−2x2+3x−10\frac { x } { x ^ { 2 } + 3 x - 10 } - \frac { 2 } { x ^ { 2 } + 3 x - 10 }x2+3x−10x​−x2+3x−102​

Perform the Indicated Operation $\frac { x } { x ^ { 2 } + 3 x - 10 } - \frac { 2 } { x ^ { 2 } + 3 x - 10 }$