Perform the indicated operations and simplify the result. Leave the answer in factored form.
-$$\frac { x + 4 } { x + 2 } - \frac { x + 4 } { x - 4 }$$
A) $\frac { - 6 ( x + 4 ) } { ( x + 2 ) ( x - 4 ) }$
B) $\frac { 6 ( x + 4 ) } { ( x + 2 ) ( x - 4 ) }$
C) 0
D) $\frac { - 2 ( x + 4 ) } { ( x + 2 ) ( x - 4 ) }$

Question

Quizplus · Accepted Answer

To simplify the given expression, find a common denominator, which is $(x + 2)(x - 4)$. The expression becomes $\frac{(x + 4)(x - 4) - (x + 4)(x + 2)}{(x + 2)(x - 4)}$. Simplifying the numerator gives $-6(x + 4)$, leading to the answer $\frac{-6(x + 4)}{(x + 2)(x - 4)}$.

Perform the Indicated Operations and Simplify the Result x+4x+2−x+4x−4\frac { x + 4 } { x + 2 } - \frac { x + 4 } { x - 4 }x+2x+4​−x−4x+4​

Perform the Indicated Operations and Simplify the Result $\frac { x + 4 } { x + 2 } - \frac { x + 4 } { x - 4 }$