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Simplify the Rational Expression x2+8x+12x2+9x+14x2+7xx2+2x24\frac { x ^ { 2 } + 8 x + 12 } { x ^ { 2 } + 9 x + 14 } \cdot \frac { x ^ { 2 } + 7 x } { x ^ { 2 } + 2 x - 24 }

Question 164

Multiple Choice

Simplify the rational expression. (Assume the denominator is nonzero.)
- x2+8x+12x2+9x+14x2+7xx2+2x24\frac { x ^ { 2 } + 8 x + 12 } { x ^ { 2 } + 9 x + 14 } \cdot \frac { x ^ { 2 } + 7 x } { x ^ { 2 } + 2 x - 24 }


A) xx4\frac { x } { x - 4 }
B) x2+7xx4\frac { x ^ { 2 } + 7 x } { x - 4 }
C) xx2+9x+14\frac { x } { x ^ { 2 } + 9 x + 14 }
D) 1x4\frac { 1 } { x - 4 }

Correct Answer:

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