Expand the Binomial by Using the Binomial Theorem $\left( x - 2 y ^ { 3 } \right) ^ { 4 }$

question 114

Multiple Choice

Expand the binomial by using the binomial theorem.
- $\left( x - 2 y ^ { 3 } \right) ^ { 4 }$

• A) \(x ^ { 4 } - 8 x ^ { 3 } y + 24 x ^ { 2 } y ^ { 2 } - 32 x y ^ { 3 } + 16 y ^ { 4 }\)
• B) \(x ^ { 4 } - 2 x ^ { 3 } y + 4 x ^ { 2 } y ^ { 2 } - 8 x y ^ { 3 } + 16 y ^ { 4 }\)
• C) \(x ^ { 4 } + 2 x ^ { 3 } y ^ { 3 } + 4 x ^ { 2 } y ^ { 6 } + 8 x y ^ { 9 } + 16 y ^ { 12 }\)
• D) \(x ^ { 4 } - 8 x ^ { 3 } y ^ { 3 } + 24 x ^ { 2 } y ^ { 6 } - 32 x y ^ { 9 } + 16 y ^ { 12 }\)

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Definitions:

Kinesthetic

Relating to kinesthesia, which is the sense that detects bodily position, weight, or movement of the muscles, tendons, and joints.

Perception

The cognitive process of interpreting sensory information to represent and understand the environment around us.

Vestibular

Pertaining to the vestibular system in the inner ear, responsible for providing the leading contribution to the sense of balance and spatial orientation for the purpose of coordinating movement.

Homeostatic

Referring to the self-regulating processes that biological systems use to maintain stability while adjusting to conditions that are optimal for survival.