Factor by Grouping $10 x ^ { 6 } - 25 x ^ { 3 } + 8 x ^ { 3 } - 20$

question 81

Multiple Choice

Factor by grouping.
- $10 x ^ { 6 } - 25 x ^ { 3 } + 8 x ^ { 3 } - 20$

• A) \(\left( 5 x ^ { 6 } + 4 \right) ( 2 x - 5 )\)
• B) \(\left( 10 x ^ { 3 } - 4 \right) \left( x ^ { 3 } + 5 \right)\)
• C) \(\left( 5 x ^ { 3 } + 4 \right) \left( 2 x ^ { 3 } - 5 \right)\)
• D) \(\left( 5 x ^ { 3 } - 4 \right) \left( 2 x ^ { 3 } + 5 \right)\)

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Definitions:

Motor Cortex

An area of the cerebral cortex that plays a crucial role in planning, controlling, and carrying out voluntary movements.

Prefrontal Cortex

The prefrontal cortex is a region of the brain associated with decision-making, cognitive behavior, personality expression, and moderating social behaviour.

Stage 1 Sleep

The initial phase of the sleep cycle, characterized by light sleep and ease of awakening.

Slow-Wave Sleep

A deep stage of sleep characterized by low-frequency, high-amplitude brain waves, associated with physical and mental restoration.