Simplify.
-$$\frac { \frac { 3 } { x ^ { 3 } } - \frac { 5 } { x ^ { 2 } } } { \frac { 2 } { x ^ { 2 } } + 5 }$$
A) $\frac { 3 - 5 x } { 2 x + 5 x ^ { 3 } }$
B) $\frac { 3 + 5 x } { 2 x + 5 x ^ { 3 } }$
C) $\frac { 3 + 5 x } { 2 x - 5 x ^ { 3 } }$
D) $\frac { - 2 x } { 7 }$

Question

Quizplus · Accepted Answer

To simplify the given expression, first find a common denominator for the numerator and simplify the denominator as is. The common denominator for the terms in the numerator is $x^3$, so the expression becomes $\frac{\frac{3x - 5x^2}{x^3}}{\frac{2 + 5x^3}{x^2}}$. Simplifying further by multiplying both the numerator and the denominator by $x^3$ to eliminate the complex fraction gives $\frac{3 - 5x}{2x + 5x^3}$.

Simplify - 3x3−5x22x2+5\frac { \frac { 3 } { x ^ { 3 } } - \frac { 5 } { x ^ { 2 } } } { \frac { 2 } { x ^ { 2 } } + 5 }x22​+5x33​−x25​​

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