Simplify.
-$$\frac { 8 x ^ { 2 } + 24 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }$$
A) $\frac { 8 + 24 x ^ { 3 } } { 5 x + 15 }$
B) $\frac { 8 } { 5 }$
C) $\frac { 8 x ^ { 2 } + 24 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }$
D) $\frac { 8 x } { 5 }$

Question

Quizplus · Accepted Answer

First, factor out the common terms in both the numerator and the denominator. The numerator can be factored as $8x^2(1 + 3x)$, and the denominator can be factored as $5x(1 + 3x^2)$. Notice that $1 + 3x$ is not a common factor between the numerator and denominator; instead, the common factor is $x$, allowing us to simplify the expression to $\frac{8x}{5}$.

Simplify - 8x2+24x35x+15x2\frac { 8 x ^ { 2 } + 24 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }5x+15x28x2+24x3​

Simplify
- $\frac { 8 x ^ { 2 } + 24 x ^ { 3 } } { 5 x + 15 x ^ { 2 } }$