Use the Binomial Theorem to Expand the Binomial $$( 2 x - 2 y ) ^ { 3 }$$

question 248

Multiple Choice

Use the Binomial Theorem to expand the binomial.
- $$( 2 x - 2 y ) ^ { 3 }$$

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

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Definitions:

Expansion

The process of increasing in size, volume, quantity, or scope.

Bipolar Neurons

A type of neuron with two extensions (one axon and one dendrite), common in sensory systems like the retina of the eye.

Motor Neurons

Nerve cells forming part of the pathway along which impulses pass from the brain or spinal cord to a muscle or gland.

Sensory Neurons

Neurons responsible for converting external stimuli from the organism's environment into internal electrical impulses.