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Factor, Using the Given Factor 4(2x1)3/4+8(2x1)1/4+16(2x1)5/4;4(2x1)3/44 ( 2 x - 1 ) ^ { - 3 / 4 } + 8 ( 2 x - 1 ) ^ { 1 / 4 } + 16 ( 2 x - 1 ) ^ { 5 / 4 } ; \quad 4 ( 2 x - 1 ) ^ { - 3 / 4 }

Question 399

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- 4(2x1) 3/4+8(2x1) 1/4+16(2x1) 5/4;4(2x1) 3/44 ( 2 x - 1 ) ^ { - 3 / 4 } + 8 ( 2 x - 1 ) ^ { 1 / 4 } + 16 ( 2 x - 1 ) ^ { 5 / 4 } ; \quad 4 ( 2 x - 1 ) ^ { - 3 / 4 }


A) 8(2x1) 3/4(4x26x1) 8 ( 2 x - 1 ) ^ { - 3 / 4 } \left( 4 x ^ { 2 } - 6 x - 1 \right)
B) 8(2x1) 3/4(4x26x+1) 8 ( 2 x - 1 ) ^ { - 3 / 4 } \left( 4 x ^ { 2 } - 6 x + 1 \right)
C) 4(2x1) 3/4(16x212x3) 4 ( 2 x - 1 ) ^ { - 3 / 4 } \left( 16 x ^ { 2 } - 12 x - 3 \right)
D) 4(2x1) 3/4(16x212x+3) 4 ( 2 x - 1 ) ^ { - 3 / 4 } \left( 16 x ^ { 2 } - 12 x + 3 \right)

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