Factor by Any Method $81 \mathrm { k } ^ { 3 } \mathrm {~m} - 192 \mathrm {~m} ^ { 4 }$

question 269

Multiple Choice

Factor by any method.
- $81 \mathrm { k } ^ { 3 } \mathrm {~m} - 192 \mathrm {~m} ^ { 4 }$

• A) \(\left( 9 \mathrm {~km} - 12 \mathrm {~m} ^ { 2 } \right) \left( 9 \mathrm { k } ^ { 2 } + 16 \mathrm {~m} ^ { 2 } \right)\)
• B) \(3 \mathrm {~m} \left( 3 \mathrm { k } + 4 \mathrm {~m} ^ { 2 } \right) \left( 9 \mathrm { k } ^ { 2 } - 12 \mathrm {~km} + 16 \mathrm {~km} ^ { 2 } \right)\)
• C) \(3 m ( 3 k - 4 m ) \left( 9 k ^ { 2 } + 12 k m + 16 m ^ { 2 } \right)\)
• D) \(3 \mathrm {~m} ( 27 \mathrm { k } - 4 \mathrm {~m} ) \left( \mathrm { k } ^ { 2 } + 12 \mathrm {~km} + 16 \mathrm {~m} ^ { 2 } \right)\)

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Definitions:

Evaluation Apprehension

The fear of being judged by others, which can affect performance and behavior in social and evaluation situations.

Social Facilitation

The tendency for people to perform differently when in the presence of others than when alone, typically improving performance on simple or well-rehearsed tasks and hindering it on complex tasks.

Drive Theory

A theory in psychology that explains motivation as being driven by the desire to reduce internal tensions caused by unmet needs.

Social Facilitation

The tendency for individuals to perform better on tasks when in the presence of others than when alone.