Use the Binomial Theorem to Expand the Expression $( 3 x - 2 ) ^ { 4 }$

question 22

Multiple Choice

Use the binomial theorem to expand the expression.
- $( 3 x - 2 ) ^ { 4 }$

• A) \(- 162 x ^ { 4 } + 432 x ^ { 3 } + 216 x ^ { 2 } + 192 x + 16\)
• B) \(81 x ^ { 4 } - 216 x ^ { 3 } + 216 x ^ { 2 } - 96 x + 16\)
• C) \(81 x ^ { 3 } - 216 x ^ { 2 } + 216 x - 96\)
• D) \(81 x ^ { 4 } - 16 x ^ { 4 }\)

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Definitions:

Depressed Person

An individual experiencing depression, characterized by persistently low mood, a significant decrease in interest or pleasure in activities, and a range of physical and cognitive symptoms, affecting daily functioning.

Neurogenesis

The process of generating new neurons in the brain, contributing to brain plasticity and learning.

Synaptic Connections

The points at which nerve cells (neurons) connect and communicate with each other through neurotransmitters.

ECT

Short for Electroconvulsive Therapy, a psychiatric treatment in which seizures are electrically induced in anesthetized patients for therapeutic effect.