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

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor in both the numerator and the denominator. In the numerator, the greatest common factor is $5x^2$, and in the denominator, it is $12x$. Simplifying, we get $\frac{5x^2(1 + 3x)}{12x(1 + 3x)}$. The $(1 + 3x)$ terms cancel out, leaving $\frac{5x^2}{12x}$, which simplifies further to $\frac{5x}{12}$.

Simplify the Expression 5x2+15x312x+36x2\frac { 5 x ^ { 2 } + 15 x ^ { 3 } } { 12 x + 36 x ^ { 2 } }12x+36x25x2+15x3​

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