Simplify the rational expression. If the rational expression cannot be simplified, so state.
-$$\frac { 27 x - 24 } { 8 x - 9 x ^ { 2 } }$$
A) $\frac { 3 } { x }$
B) $- \frac { 3 } { x }$
C) $- 3$
D) $- \frac { 1 } { 3 x }$

Question

Quizplus · Accepted Answer

First, factor out the common terms in both the numerator and the denominator. The numerator $27x - 24$ can be factored as $3(9x - 8)$. The denominator $8x - 9x^2$ can be factored as $x(8 - 9x)$, which can also be written as $-x(9x - 8)$ to match the numerator's factor. Simplifying, we get $\frac{3}{-x}$ or $-\frac{3}{x}$, which corresponds to option B.

Simplify the Rational Expression 27x−248x−9x2\frac { 27 x - 24 } { 8 x - 9 x ^ { 2 } }8x−9x227x−24​

Simplify the Rational Expression $\frac { 27 x - 24 } { 8 x - 9 x ^ { 2 } }$