Factor the Sum or Difference of Two Cubes $54 x ^ { 3 } y ^ { 6 } - 50 x ^ { 6 } y ^ { 3 }$

question 253

Multiple Choice

Factor the sum or difference of two cubes.
- $54 x ^ { 3 } y ^ { 6 } - 50 x ^ { 6 } y ^ { 3 }$

• A) \(2 x ^ { 3 } y ^ { 3 } ( 3 y - 5 x ) \left( 9 y ^ { 2 } + 15 x y + 25 x ^ { 2 } \right)\)
• B) \(2 \left( 3 x y ^ { 2 } + 5 x ^ { 2 } y \right) \left( 9 x ^ { 2 } y ^ { 4 } - 15 x ^ { 3 } y ^ { 3 } + 25 x ^ { 4 } y ^ { 2 } \right)\)
• C) \(2 x ^ { 3 } y ^ { 3 } ( 3 y + 5 x ) \left( 9 y ^ { 2 } - 15 x y + 25 x ^ { 2 } \right)\)
• D) \(2 x ^ { 3 } y ^ { 3 } \left( 27 y ^ { 3 } - 25 x ^ { 3 } \right)\)

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Definitions:

Strategies

Plans of action designed to achieve a specific goal or set of goals.

Content Theories

Theories that aim to explain the specific things that motivate individuals at work, such as needs and desires.

Maslow's Hierarchy

A psychological theory proposing that human needs are arranged in a hierarchy from physiological needs to safety, love and belonging, esteem, and finally self-actualization; individuals are motivated by the need they have not yet satisfied.

Alderfer's ERG Theory

A model in motivational psychology that categorizes human needs into three groups: Existence, Relatedness, and Growth.