Factor the Expression Completely $625 x ^ { 4 } - 256 y ^ { 4 }$

question 137

Multiple Choice

Factor the expression completely. If the expression is prime, so indicate. $625 x ^ { 4 } - 256 y ^ { 4 }$

• A) \(\left( 25 x ^ { 2 } + 16 y ^ { 2 } \right) ( 4 x + 5 y ) ( 4 x - 5 y )\)
• B) \(( 5 x - 4 y ) ^ { 2 } ( 5 x - 4 y ) ^ { 2 }\)
• C) \(\left( 25 x ^ { 2 } + 16 y ^ { 2 } \right) ( 5 x + 4 y ) ( 5 x - 4 y )\)
• D) \(\left( 25 x ^ { 2 } - 16 y ^ { 2 } \right) ( 5 x - 4 y ) ( 5 x + 4 y )\)
• E) prime

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Definitions:

Fellow Workers

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Cognitive Dissonance Reduction

The process of alleviating discomfort caused by holding two contradictory beliefs, through changing attitudes, beliefs, or behaviors.

Perceived Control

An individual’s belief in their ability to influence events and outcomes in their lives.

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