Use the Binomial Theorem to Expand the Complex Number $( 5 + i ) ^ { 4 }$

question 11

Multiple Choice

Use the Binomial Theorem to expand the complex number.Simplify your result.​ $( 5 + i ) ^ { 4 }$ ​

• A) \(480 i - 476\)
• B) \(- 480 i - 476\)
• C) \(- 480 i + 476\)
• D) \(480 i + 476\)
• E) \(480 i + 476 i\)

Recognize the role of grit and ambition in personal and academic success.

Understand the concepts of hypothesis testing, including the null and alternative hypotheses.

Apply and interpret confidence intervals for different statistical parameters.

Understand the conditions for using the t-distribution and calculate degrees of freedom in hypothesis testing.

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Definitions:

Psychosocial Generativity

A concept involving the concern for establishing and guiding the next generation, often associated with midlife development.

Erikson

Identifies Erik Erikson, a developmental psychologist and psychoanalyst known for his theory on the psychosocial development of human beings.

Procreativity

The capacity or activity of producing offspring or creative work, often reflecting broader biological, social, or personal meanings.

Thomas Robert Malthus

An English cleric and scholar influential in the fields of political economy and demography, best known for his theory that population growth will always tend to outrun the food supply.