Factor, Using the Given Factor $$6 ( 2 x - 1 ) ^ { - 3 / 4 } + 12 ( 2 x - 1 ) ^ { 1 / 4 } + 24 ( 2 x - 1 ) ^ { 5 / 4 } ; \quad 6 ( 2 x - 1 ) ^ { - 3 / 4 }$$

question 426

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- $$6 ( 2 x - 1 ) ^ { - 3 / 4 } + 12 ( 2 x - 1 ) ^ { 1 / 4 } + 24 ( 2 x - 1 ) ^ { 5 / 4 } ; \quad 6 ( 2 x - 1 ) ^ { - 3 / 4 }$$

• A) \(6 ( 2 x - 1 ) ^ { - 3 / 4 } \left( 16 x ^ { 2 } - 12 x - 3 \right)\)
• B) \(6 ( 2 x - 1 ) ^ { - 3 / 4 } \left( 16 x ^ { 2 } - 12 x + 3 \right)\)
• C) \(12 ( 2 x - 1 ) ^ { - 3 / 4 } \left( 4 x ^ { 2 } - 6 x - 1 \right)\)
• D) \(12 ( 2 x - 1 ) ^ { - 3 / 4 } \left( 4 x ^ { 2 } - 6 x + 1 \right)\)

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