Simplify the rational expression. (Assume the denominator is nonzero.)
-$$\frac { x ^ { 2 } - 2 x } { ( x + 4 ) ( x - 2 ) }$$
A) $\frac { x ^ { 2 } } { x + 4 }$

B) $\frac { x } { x + 4 }$

C) $\frac { x - 2 } { x + 4 }$

D) $\frac { 1 } { x + 4 }$

Question

Simplify the rational expression. (Assume the denominator is nonzero.)
-$$\frac { x ^ { 2 } - 2 x } { ( x + 4 ) ( x - 2 ) }$$
A) $\frac { x ^ { 2 } } { x + 4 }$

B) $\frac { x } { x + 4 }$

C) $\frac { x - 2 } { x + 4 }$

D) $\frac { 1 } { x + 4 }$

Quizplus · Accepted Answer

The expression can be simplified by factoring the numerator as $x(x - 2)$. This gives $\frac{x(x - 2)}{(x + 4)(x - 2)}$. The $(x - 2)$ terms cancel out, leaving $\frac{x}{x + 4}$.

Simplify the Rational Expression x2−2x(x+4)(x−2)\frac { x ^ { 2 } - 2 x } { ( x + 4 ) ( x - 2 ) }(x+4)(x−2)x2−2x​

Simplify the Rational Expression $\frac { x ^ { 2 } - 2 x } { ( x + 4 ) ( x - 2 ) }$