Write the rational expression in simplest form. $\frac { 3 y - 9 y ^ { 2 } } { 12 y - 4 }$
A) $\frac { 3 y } { 4 } , \quad y \neq 0$
B) $\frac { 3 y } { 4 } , \quad y \neq \frac { 1 } { 3 }$
C) $- \frac { 3 y } { 4 } , \quad y \neq \frac { 1 } { 3 }$
D) $- \frac { 3 y } { 4 } , \quad y \neq \frac { 1 } { 3 } , y \neq 0$
E) $- \frac { 3 y } { 4 } , \quad y \neq 0$

Question

Quizplus · Accepted Answer

First, factor out the common terms in the numerator and denominator. The numerator $3y - 9y^2$ can be factored as $3y(1 - 3y)$, and the denominator $12y - 4$ can be factored as $4(3y - 1)$. Simplifying, we get $-\frac{3y}{4}$, with the condition $y \neq \frac{1}{3}$ to avoid division by zero.

Write the Rational Expression in Simplest Form 3y−9y212y−4\frac { 3 y - 9 y ^ { 2 } } { 12 y - 4 }12y−43y−9y2​

Write the Rational Expression in Simplest Form $\frac { 3 y - 9 y ^ { 2 } } { 12 y - 4 }$