Simplify the rational expression.
-$$\frac { 12 x ^ { 2 } + 36 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }$$
A) $\frac { 12 + 36 x ^ { 3 } } { 5 x + 15 }$
B) $\frac { 12 } { 5 }$
C) $\frac { 12 x ^ { 2 } + 36 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }$
D) $\frac { 12 x } { 5 }$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor in both the numerator and the denominator. The numerator can be factored as $12x^2(1 + 3x)$, and the denominator can be factored as $5x(1 + 3x)$. After canceling out the common factor $1 + 3x$, we are left with $\frac{12x^2}{5x}$, which simplifies further to $\frac{12x}{5}$.

Simplify the Rational Expression 12x2+36x35x+15x2\frac { 12 x ^ { 2 } + 36 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }5x+15x212x2+36x3​

Simplify the Rational Expression $\frac { 12 x ^ { 2 } + 36 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }$