Expand the Expression Using the Binomial Theorem $$( 3 x - 2 y ) ^ { 3 }$$

question 124

Multiple Choice

Expand the expression using the Binomial Theorem.
- $$( 3 x - 2 y ) ^ { 3 }$$

• A) \(9 x ^ { 3 } y - 12 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 }\)
• B) \(27 x ^ { 3 } - 54 x ^ { 2 } y + 36 x y ^ { 2 } - 8 y ^ { 3 }\)
• C) \(9 x ^ { 3 } y - 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 }\)
• D) \(27 x ^ { 3 } - 18 x ^ { 2 } y + 12 x y ^ { 2 } - 8 y ^ { 3 }\)

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Definitions:

Stimulus Generalization

A learning process in which a response to one stimulus becomes associated with other similar stimuli, leading to a similar response.

Classical Conditioning

A learning process in which a biologically potent stimulus is paired with a previously neutral stimulus to elicit a conditioned response.

Conditioned Response

A learned reaction to a specific stimulus that results from repeated exposure to that stimulus paired with a particular response.

Classical Conditioning

A learning paradigm wherein two stimuli are continuously paired together; initially, the response comes from the second stimulus, but later, the first stimulus can independently provoke the response.