Simplify the rational expression. $\frac { 9 x ^ { 2 } - 36 x } { 72 x ^ { 2 } }$
A) $\frac { 9 x ^ { 2 } - 4 } { 8 x }$
B) $\frac { x - 4 } { 8 x }$
C) $\frac { x - 9 } { 8 }$
D) $\frac { 1 - 4 x } { 8 x }$
E) $\frac { 1 - 36 x } { 8 }$

Question

Quizplus · Accepted Answer

The greatest common factor of the numerator is $9x$, so factor out $9x$ from the numerator and denominator: \begin{align*}
\frac{9x( x-4)}{72x^2}&=\frac{x-4}{8x} &&	ext{(simplify)}\
&=\boxed{	extbf{(B) }\frac{x-4}{8x}}.
\end{align*}

Simplify the Rational Expression 9x2−36x72x2\frac { 9 x ^ { 2 } - 36 x } { 72 x ^ { 2 } }72x29x2−36x​

Simplify the Rational Expression $\frac { 9 x ^ { 2 } - 36 x } { 72 x ^ { 2 } }$