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Simplify the Rational Expression 16(x23)3+64x(x23)4256(x23)3\frac { 16 \left( x ^ { 2 } - 3 \right) ^ { 3 } + 64 x \left( x ^ { 2 } - 3 \right) ^ { 4 } } { 256 \left( x ^ { 2 } - 3 \right) ^ { 3 } }

Question 291

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
- 16(x23) 3+64x(x23) 4256(x23) 3\frac { 16 \left( x ^ { 2 } - 3 \right) ^ { 3 } + 64 x \left( x ^ { 2 } - 3 \right) ^ { 4 } } { 256 \left( x ^ { 2 } - 3 \right) ^ { 3 } }


A) 14x3+12x64\frac { 1 - 4 x ^ { 3 } + 12 x } { 64 }
B) 14x312x64\frac { 1 - 4 x ^ { 3 } - 12 x } { 64 }
C) 1+4x312x16\frac { 1 + 4 x ^ { 3 } - 12 x } { 16 }
D) 1+4x3+12x16\frac { 1 + 4 x ^ { 3 } + 12 x } { 16 }

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