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Simplify the Rational Expression 4(x23)3+8x(x23)416(x23)3\frac { 4 \left( x ^ { 2 } - 3 \right) ^ { 3 } + 8 x \left( x ^ { 2 } - 3 \right) ^ { 4 } } { 16 \left( x ^ { 2 } - 3 \right) ^ { 3 } }

Question 374

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
- 4(x23) 3+8x(x23) 416(x23) 3\frac { 4 \left( x ^ { 2 } - 3 \right) ^ { 3 } + 8 x \left( x ^ { 2 } - 3 \right) ^ { 4 } } { 16 \left( x ^ { 2 } - 3 \right) ^ { 3 } }


A) 1+2x3+6x4\frac { 1 + 2 x ^ { 3 } + 6 x } { 4 }
B) 12x3+6x8\frac { 1 - 2 x ^ { 3 } + 6 x } { 8 }
C) 1+2x36x4\frac { 1 + 2 x ^ { 3 } - 6 x } { 4 }
D) 12x36x8\frac { 1 - 2 x ^ { 3 } - 6 x } { 8 }

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