Use the Binominal Theorem to Expand the Complex Number $( 3 - 2 i ) ^ { 4 }$

question 324

Multiple Choice

Use the Binominal Theorem to expand the complex number.Simplify your result. $( 3 - 2 i ) ^ { 4 }$

• A) \(- 135 + 344 i\)
• B) \(- 151 + 344 i\)
• C) \(- 135 - 88 i\)
• D) \(- 151 - 88 i\)
• E) \(313 - 88 i\)

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Definitions:

Orbicularis Oris

A circular muscle around the mouth that controls the movements of the mouth and lips.

Buccinator

A muscle of the cheek that aids in chewing and is involved in the compression of the cheeks against the teeth.

Masseter

A facial muscle that plays a major role in mastication (chewing), connecting the lower jaw to the cheekbone.

Gluteus Minimus

The smallest of the three gluteal muscles, located beneath the gluteus medius, it works to abduct and medially rotate the thigh.