Simplify.
-$\frac { \frac { 2 } { x } - \frac { 3 } { y } - \frac { 5 } { x y } } { 3 y ^ { - 1 } + 2 x ^ { - 3 } }$
A) $\frac { 12 x y - 18 x ^ { 2 } - 30 x } { 2 x ^ { 3 } + 3 y }$
B) $- \frac { 6 \left( x ^ { 3 } + y \right) } { 5 ( x - y - x y ) }$
C) $- \frac { 6 x ^ { 2 } } { 3 x ^ { 3 } + 2 y }$
D) $\frac { 2 x ^ { 2 } y - 3 x ^ { 3 } - 5 x ^ { 2 } } { 3 x ^ { 3 } + 2 y }$

Question

Quizplus · Accepted Answer

To simplify the given expression, we first find a common denominator for the numerator and simplify the denominator. The common denominator for the terms in the numerator is $xy$, and we rewrite $3y^{-1}$ as $\frac{3}{y}$ and $2x^{-3}$ as $\frac{2}{x^3}$. After simplification and combining like terms, we arrive at the expression given in option D.

Simplify - 2x−3y−5xy3y−1+2x−3\frac { \frac { 2 } { x } - \frac { 3 } { y } - \frac { 5 } { x y } } { 3 y ^ { - 1 } + 2 x ^ { - 3 } }3y−1+2x−3x2​−y3​−xy5​​

Simplify
- $\frac { \frac { 2 } { x } - \frac { 3 } { y } - \frac { 5 } { x y } } { 3 y ^ { - 1 } + 2 x ^ { - 3 } }$