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Perform the Indicated Operations and Simplify the Result 9x472x3x212x2+x24x3+8x2+16x\frac { 9 x ^ { 4 } - 72 x } { 3 x ^ { 2 } - 12 } \cdot \frac { x ^ { 2 } + x - 2 } { 4 x ^ { 3 } + 8 x ^ { 2 } + 16 x }

Question 46

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- 9x472x3x212x2+x24x3+8x2+16x\frac { 9 x ^ { 4 } - 72 x } { 3 x ^ { 2 } - 12 } \cdot \frac { x ^ { 2 } + x - 2 } { 4 x ^ { 3 } + 8 x ^ { 2 } + 16 x }


A) 3x(x+1) 4\frac { 3 x ( x + 1 ) } { 4 }
B) 3x(x1) (x2) 24(x+2) 2\frac { 3 x ( x - 1 ) ( x - 2 ) ^ { 2 } } { 4 ( x + 2 ) ^ { 2 } }
C) 3x(x1) 4\frac { 3 x ( x - 1 ) } { 4 }
D) 3(x1) 4\frac { 3 ( x - 1 ) } { 4 }

Correct Answer:

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