Subtract. Simplify, if possible.
-$$\frac { 5 x } { x ^ { 2 } - 9 } - \frac { x } { x - 3 }$$
A) $\frac { x ^ { 2 } + 8 x } { x ^ { 2 } - 9 }$
B) $\frac { x ^ { 2 } + 2 x } { x ^ { 2 } - 9 }$
C) $\frac { - x ^ { 2 } + 8 x } { x ^ { 2 } - 9 }$
D) $\frac { - x ^ { 2 } + 2 x } { x ^ { 2 } - 9 }$

Question

Quizplus · Accepted Answer

To subtract the fractions, find a common denominator, which is $x^2 - 9 = (x-3)(x+3)$. Rewrite $\frac{x}{x-3}$ as $\frac{x(x+3)}{(x-3)(x+3)}$. Subtract: $\frac{5x}{x^2-9} - \frac{x(x+3)}{x^2-9} = \frac{5x - x(x+3)}{x^2-9} = \frac{5x - x^2 - 3x}{x^2-9} = \frac{-x^2 + 2x}{x^2-9}$.

Subtract Simplify, If Possible 5xx2−9−xx−3\frac { 5 x } { x ^ { 2 } - 9 } - \frac { x } { x - 3 }x2−95x​−x−3x​

Subtract Simplify, If Possible $\frac { 5 x } { x ^ { 2 } - 9 } - \frac { x } { x - 3 }$