Factor, Using the Given Factor A) $4 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 } \left( 19 y ^ { 2 } - 28 y + 8 \right)$

question 285

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- $12 y ^ { 4 } ( 2 y + 1 ) ^ { - 2 / 5 } + 16 y ^ { 3 } ( 2 y + 1 ) ^ { 3 / 5 } - 32 y ^ { 2 } ( 2 y + 1 ) ^ { 8 / 5 } ; \quad 4 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 }$

• A) \(4 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 } \left( 19 y ^ { 2 } - 28 y + 8 \right)\)
• B) \(4 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 } \left( - 19 y ^ { 2 } - 28 y - 8 \right)\)
• C) \(4 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 } \left( 21 y ^ { 2 } - 28 y + 8 \right)\)
• D) \(4 y ^ { 2 } ( 2 y + 1 ) ^ { - 2 / 5 } \left( - 21 y ^ { 2 } - 28 y - 8 \right)\)

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Definitions:

Eidetic Imagery

A phenomenon in which a person has the ability to recall images, sounds, or objects with high precision for a brief period after being exposed to them, often referred to as photographic memory.

Mnemonics

Memory aids or techniques that use patterns, associative imagery, or organizational systems to enhance the recall of information.

Retrograde Amnesia

The inability to recall events that happened or knowledge that was acquired prior to sustaining an injury or the start of a disease.

Psychogenic Amnesia

A memory disorder where an individual loses memory due to psychological stress or trauma, rather than physical damage to the brain.