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ACT® Math

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Moderate

Adding Rational Expressions

ACTMAT-KPKEJ8

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

$$ \frac { x }{ x+2 } +\frac { x+2 }{ x } $$

...where $x \neq 0$ and $x \neq -2$?

A

$ x(x+2) $

B

$ 2\cfrac { 1 }{ 2 } $

C

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

D

$ x(x+2) $

E

$ \cfrac { { 2(x }^{ 2 }{ +2x+2) } }{ x(x+2) } $