Factor Completely $$c ^ { 3 } - 512 d ^ { 3 }$$

question 85

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$c ^ { 3 } - 512 d ^ { 3 }$$

• A) \(( c + 8 d ) \left( c ^ { 2 } - 8 c d + 64 d ^ { 2 } \right)\)
• B) \(( c - 8 d ) \left( c ^ { 2 } + 8 c d + 64 d ^ { 2 } \right)\)
• C) \(\left( \mathrm { c } + 512 \mathrm {~d} ^ { 3 } \right) \left( \mathrm { c } ^ { 2 } - 1 \right)\)
• D) \(( c - 8 d ) \left( c ^ { 2 } + 64 d ^ { 2 } \right)\)

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Definitions:

Procrastination

The act of delaying or postponing tasks despite knowing there will be negative consequences for doing so.

Self-regulation of Behavior

The process by which individuals control their own behavior in order to achieve personal goals or adhere to standards of conduct.

Intrinsic Motivation

Motivation driven by an interest or enjoyment in the task itself, rather than relying on external pressures or rewards.

External Regulation

pertains to the motivation to perform an activity driven by external rewards or to avoid adverse outcomes, rather than personal interest or enjoyment.