Expand the Expression Using the Binomial Theorem $$( 2 x + 1 ) ^ { 5 }$$

question 92

Multiple Choice

Expand the expression using the Binomial Theorem.
- $$( 2 x + 1 ) ^ { 5 }$$

• A) \(\left( 4 x ^ { 2 } + 4 x + 1 \right) ^ { 5 }\)
• B) \(32 x ^ { 5 } + 80 x ^ { 4 } + 80 x ^ { 3 } + 40 x ^ { 2 } + 10 x + 1\)
• C) \(32 x ^ { 5 } + 10 x ^ { 4 } + 40 x ^ { 3 } + 40 x ^ { 2 } + 10 x + 1\)
• D) \(32 x ^ { 5 } + 16 x ^ { 4 } + 8 x ^ { 3 } + 4 x ^ { 2 } + 2 x + 1\)

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Definitions:

Electrical Signal

An impulse or transmission of information conveyed through the movement of electrical charge.

Axon

An elongated, thin extension of a neuron, also known as a nerve cell, which usually transmits electrical signals from the cell body of the neuron.

Synaptic Transmission

The process by which neurons communicate with each other by releasing neurotransmitters across a synapse to transmit signals to target cells.

Neurotransmitters

Chemicals in the brain that transmit signals across a synapse from one neuron to another.