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

question 399

Multiple Choice

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

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

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Definitions:

Redistribution of Income

The transfer of income from certain individuals or groups to others through mechanisms like taxes, subsidies, and social welfare programs.

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Demographic Group

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The different stages an individual goes through from dependence to independence, potentially to wealth accumulation, and finally to retirement and dependence once more, in terms of earning and spending.