Find the Specified Nth Term in the Expansion of the Binomial.​

question 27

Multiple Choice

Find the specified nth term in the expansion of the binomial.​ $( 5 x - 3 y ) ^ { 12 } , n = 10$ ​

• A) \(- 541,282,500 y x\)
• B) \(- 541,282,500 y ^ { 3 } x ^ { 3 }\)
• C) \(- 541,282,500 y ^ { 9 } x ^ { 3 }\)
• D) \(- 541,282,500 y ^ { 9 } x ^ { 9 }\)
• E) \(- 541,282,500 y ^ { 3 } x ^ { 9 }\)

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Definitions:

Aversive Conditioning

A behavioral technique that involves teaching individuals to associate an undesirable behavior with an unpleasant stimulus to discourage the behavior.

Rational-emotive

A form of psychotherapy that identifies and changes irrational beliefs, emphasizing emotional well-being through rational thinking.

Gestalt

A theory in psychology suggesting that the mind tends to perceive objects as whole patterns or configurations, rather than merely as sums of individual components.

Group

A number of individuals who come together or are classified together based on shared characteristics or for a common purpose.