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Perform the Indicated Operation 2xx2x6+xx2+8x+12\frac { 2 x } { x ^ { 2 } - x - 6 } + \frac { x } { x ^ { 2 } + 8 x + 12 }

Question 45

Multiple Choice

Perform the indicated operation. Simplify, if possible. 2xx2x6+xx2+8x+12\frac { 2 x } { x ^ { 2 } - x - 6 } + \frac { x } { x ^ { 2 } + 8 x + 12 }


A) 3x2+9x(x+2) (x3) (x+6) \frac { 3 x ^ { 2 } + 9 x } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }
B) 3x(x+2) (x3) (x+6) \frac { 3 x } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }
C) 3x2+15x(x+2) (x3) (x+6) \frac { 3 x ^ { 2 } + 15 x } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }
D) 3x2+15(x+2) (x3) (x+6) \frac { 3 x ^ { 2 } + 15 } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }

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