Perform the indicated operation. Simplify if possible.
-$\frac { 4 x } { x ^ { 2 } - 6 x + 8 } - \frac { 16 } { x ^ { 2 } - 6 x + 8 }$
A) $\frac { 4 ( x - 4 ) } { ( x + 4 ) ( x - 2 ) }$
B) $\frac { 4 } { x - 4 }$
C) $\frac { 4 } { x - 2 }$
D) $\frac { 4 ( x + 4 ) } { ( x - 4 ) ( x - 2 ) }$

Question

Quizplus · Accepted Answer

The denominators are the same, so subtract the numerators: $\frac{4x - 16}{x^2 - 6x + 8}$. Factor the numerator and denominator: $\frac{4(x - 4)}{(x - 4)(x - 2)}$. Cancel $x - 4$ to get $\frac{4}{x - 2}$.

Perform the Indicated Operation 4xx2−6x+8−16x2−6x+8\frac { 4 x } { x ^ { 2 } - 6 x + 8 } - \frac { 16 } { x ^ { 2 } - 6 x + 8 }x2−6x+84x​−x2−6x+816​

Perform the Indicated Operation $\frac { 4 x } { x ^ { 2 } - 6 x + 8 } - \frac { 16 } { x ^ { 2 } - 6 x + 8 }$