Use the Binomial Formula to Expand the Binomial $( 2 x + y ) ^ { 6 }$

question 23

Multiple Choice

Use the binomial formula to expand the binomial.
- $( 2 x + y ) ^ { 6 }$

• A) \(64 x ^ { 6 } + 192 x ^ { 5 } y + 480 x ^ { 4 } y ^ { 2 } + 960 x ^ { 3 } y ^ { 3 } + 1440 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + y ^ { 6 }\)
• B) \(2 x ^ { 6 } + 12 x ^ { 5 } y + 30 x ^ { 4 } y ^ { 2 } + 40 x ^ { 3 } y ^ { 3 } + 12 x y ^ { 5 } + y ^ { 6 }\)
• C) \(64 x ^ { 6 } + 192 x ^ { 5 } y + 240 x ^ { 4 } y ^ { 2 } + 160 x ^ { 3 } y ^ { 3 } + 240 x ^ { 2 } y ^ { 4 } + 192 x y ^ { 5 } + 64 y ^ { 6 }\)
• D) \(64 x ^ { 6 } + 192 x ^ { 5 } y + 240 x ^ { 4 } y ^ { 2 } + 160 x ^ { 3 } y ^ { 3 } + 60 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + y ^ { 6 }\)

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Definitions:

Glial Cells

Glial cells, also known as glia, are supportive cells in the nervous system that do not conduct nerve impulses but are critical for the support, nourishment, and protection of neurons.

Action Potentials

Rapid and temporary electrical charges that travel along the membrane of a neuron, facilitating nerve impulse conduction.

Stimulation

The encouragement of something to increase activity, interest, or enthusiasm, or the process of applying a stimulus.

Intensity

The degree of strength, force, or brightness of a stimulus or action.