Simplify.
-$$\frac { \frac { - 2 x } { x ^ { 2 } - x y } } { \frac { y } { x ^ { 2 } } }$$
A) $- \frac { 2 x ^ { 2 } } { y ( x - y ) }$
B) $\frac { 2 x ^ { 2 } } { y ^ { 2 } }$
C) $\frac { 2 x ^ { 2 } } { y ( x - y ) }$
D) $- \frac { 2 x ^ { 2 } } { y ( x + y ) }$

Question

Quizplus · Accepted Answer

To simplify the given expression, we divide the numerator by the denominator: $\frac{-2x}{x^2-xy} \div \frac{y}{x^2}$. This is equivalent to multiplying the numerator by the reciprocal of the denominator: $\frac{-2x}{x^2-xy} \times \frac{x^2}{y}$. Simplifying this, we get $-\frac{2x^3}{y(x^2-xy)}$, which simplifies further to $-\frac{2x^2}{y(x-y)}$, matching option A.

Simplify - −2xx2−xyyx2\frac { \frac { - 2 x } { x ^ { 2 } - x y } } { \frac { y } { x ^ { 2 } } }x2y​x2−xy−2x​​

Simplify
- $\frac { \frac { - 2 x } { x ^ { 2 } - x y } } { \frac { y } { x ^ { 2 } } }$