Factor Completely $25 - x ^ { 2 } y ^ { 2 }$

question 131

Multiple Choice

Factor completely. Check by multiplying the factors. $25 - x ^ { 2 } y ^ { 2 }$

• A) \(( 5 - x y ) ( 5 - x y )\)
• B) \(( 1 - x y ) ( 25 + x y )\)
• C) \(\left( 5 - x ^ { 2 } \right) \left( 5 - y ^ { 2 } \right)\)
• D) \(( 25 - x y ) ( 1 + x y )\)
• E) \(( 5 + x y ) ( 5 + x y )\)

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Definitions:

Self-determination Theory

A psychological theory of motivation that emphasizes the role of autonomy, competence, and relatedness in fostering motivation and psychological growth.

Unconditional Positive Regard

A term in humanistic psychology referring to accepting and supporting someone without judging or imposing conditions.

Carl Rogers

An influential American psychologist who founded the person-centered approach to therapy, emphasizing the importance of self and the potential for personal growth.

Approach-oriented

A behavioral tendency to move towards positive or desirable outcomes or stimuli rather than avoiding negative ones.