Perform the indicated operation. Simplify, if possible.
-$$\frac { 36 x } { 7 ( 6 x + 1 ) } - \frac { 1 } { 7 x ( 6 x + 1 ) } + \frac { 1 } { x }$$
A) $\frac { 36 x ^ { 2 } + 42 x + 6 } { 7 x }$
B) $\frac { 6 ( x + 1 ) } { 7 x }$
C) $\frac { 6 ( x + 1 ) } { 42 x ^ { 2 } + 7 x }$
D) $\frac { 36 x ^ { 2 } + 42 x + 6 } { 42 x ^ { 2 } + 7 x }$

Question

Quizplus · Accepted Answer

To simplify the given expression, first find a common denominator, which is $7x(6x+1)$. Then, combine the fractions and simplify. The result is $\frac{6(x+1)}{7x}$, which matches option B.

Perform the Indicated Operation 36x7(6x+1)−17x(6x+1)+1x\frac { 36 x } { 7 ( 6 x + 1 ) } - \frac { 1 } { 7 x ( 6 x + 1 ) } + \frac { 1 } { x }7(6x+1)36x​−7x(6x+1)1​+x1​

Perform the Indicated Operation $\frac { 36 x } { 7 ( 6 x + 1 ) } - \frac { 1 } { 7 x ( 6 x + 1 ) } + \frac { 1 } { x }$