Simplify the rational expression. If the rational expression cannot be simplified, so state.
-$$\frac { 3 x ^ { 2 } + 9 x ^ { 3 } } { 2 x + 6 x ^ { 2 } }$$
A) $\frac { 3 x } { 2 }$
B) cannot be simplified
C) $\frac { 3 } { 2 }$
D) $\frac { 3 + 9 x ^ { 3 } } { 2 x + 6 }$

Question

Quizplus · Accepted Answer

First, factor out the common terms in both the numerator and the denominator. The numerator can be factored as $3x(x + 3x^2)$ and the denominator as $2x(1 + 3x)$. Simplifying, we get $\frac{3x(x + 3x)}{2x(1 + 3x)}$, which further simplifies to $\frac{3x}{2}$.

Simplify the Rational Expression 3x2+9x32x+6x2\frac { 3 x ^ { 2 } + 9 x ^ { 3 } } { 2 x + 6 x ^ { 2 } }2x+6x23x2+9x3​

Simplify the Rational Expression $\frac { 3 x ^ { 2 } + 9 x ^ { 3 } } { 2 x + 6 x ^ { 2 } }$