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Moderate

Rational Expressions 2

ACTMAT-8JFNIK

Which of the following expressions below is equivalent to the expression:

$$ \frac { x-2 }{ 6x } -\frac { x-3 }{ 3 } $$

...where $ x\neq \pm 0 $?

A

$ \cfrac { 1 }{ 2x } $

B

$ -\cfrac { 5 }{ 6x } $

C

$ -\cfrac { x+8 }{ 6x } $

D

$ -\cfrac { (2x-1)(x-2) }{ 6x } $

E

$ -\cfrac { (2x+1)(x+2) }{ 6x } $