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

Question

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

Jasmin Nunez · Accepted Answer

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

Simplify the rational expression. $9x2−36x72x2\frac { 9 x ^ { 2 } - 36 x } { 72 x ^ { 2 } }$

A) $9x2−48x\frac { 9 x ^ { 2 } - 4 } { 8 x }$
B) $x−48x\frac { x - 4 } { 8 x }$
C) $x−98\frac { x - 9 } { 8 }$
D) $1−4x8x\frac { 1 - 4 x } { 8 x }$
E) $1−36x8\frac { 1 - 36 x } { 8 }$

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