Simplify.
-$$\frac { \frac { 2 } { 2 x ^ { 3 } } - \frac { 3 } { 8 x } } { \frac { 3 } { 4 x } + \frac { 3 } { 2 x ^ { 3 } } }$$
A) $\frac { 8 - 3 x ^ { 2 } } { 6 x ^ { 2 } + 12 }$
B) $\frac { 8 + 3 x ^ { 2 } } { 6 x ^ { 2 } + 4 }$
C) $\frac { 8 - 6 x ^ { 2 } } { 6 x ^ { 2 } + 12 }$
D) $\frac { 2 - 3 x ^ { 2 } } { 2 x ^ { 2 } - 12 }$

Question

Quizplus · Accepted Answer

To simplify the given expression, first find a common denominator for the fractions in the numerator and the denominator. For the numerator, the common denominator is $8x^3$, and for the denominator, it's $4x^3$. Simplifying each part gives $\frac{8-3x^2}{6x^2+12}$.

Simplify - 22x3−38x34x+32x3\frac { \frac { 2 } { 2 x ^ { 3 } } - \frac { 3 } { 8 x } } { \frac { 3 } { 4 x } + \frac { 3 } { 2 x ^ { 3 } } }4x3​+2x33​2x32​−8x3​​

Simplify
- $\frac { \frac { 2 } { 2 x ^ { 3 } } - \frac { 3 } { 8 x } } { \frac { 3 } { 4 x } + \frac { 3 } { 2 x ^ { 3 } } }$