Factor, Using the Given Factor A) $8 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 } \left( 21 y ^ { 2 } - 28 y + 8 \right)$

question 484

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- $$24 y ^ { 4 } ( 2 y + 1 ) ^ { - 2 / 5 } + 32 y ^ { 3 } ( 2 y + 1 ) ^ { 3 / 5 } - 64 y ^ { 2 } ( 2 y + 1 ) ^ { 8 / 5 } ; \quad 8 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 }$$

• A) \(8 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 } \left( 21 y ^ { 2 } - 28 y + 8 \right)\)
• B) \(8 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 } \left( - 19 y ^ { 2 } - 28 y - 8 \right)\)
• C) \(8 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 } \left( 19 y ^ { 2 } - 28 y + 8 \right)\)
• D) \(8 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 } \left( - 21 y ^ { 2 } - 28 y - 8 \right)\)

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Definitions:

Tax

A financial charge or levy imposed by a government on individuals or entities to fund public expenditures, thereby shaping economic policies.

Laffer Curve

An illustration of the relationship between tax rates and tax revenue, suggesting there's an optimal tax rate that maximizes revenue.

Tax Revenue

The capital governments gather through the imposition of taxes.

Tax

A compulsory financial charge or some other type of levy imposed on a taxpayer by a governmental organization in order to fund government spending and various public expenditures.