Use the Binomial Theorem to Expand and Simplify the Expression $\left( x ^ { 3 / 4 } + 1 \right) ^ { 4 }$

question 49

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $\left( x ^ { 3 / 4 } + 1 \right) ^ { 4 }$

• A) \(x ^ { 3 } + 1\)
• B) \(x ^ { 3 } + 4 x ^ { 9 / 7 } + 6 x ^ { 3 / 2 } + 4 x ^ { 3 / 4 } + 1\)
• C) \(x ^ { 3 } + 4 x ^ { 9 / 4 } + 6 x ^ { 3 / 2 } + 4 x ^ { 3 / 4 } + 1\)
• D) \(- x ^ { 3 } + 4 x ^ { 9 / 4 } + 6 x ^ { 3 / 2 } + 4 x ^ { 3 / 4 } - 1\)
• E) \(x ^ { 3 } + 4 x ^ { 2 } + 6 x + 1\)

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Definitions:

Expected Rate

The rate of return anticipated on an investment or asset based on historical data or specified models.

CAPM

Capital Asset Pricing Model, a model that describes the relationship between systematic risk and expected return for assets, particularly stocks.

Risk Premium

An expected return in excess of that on risk-free securities. The premium provides compensation for the risk of an investment.

Market Portfolio

An investment portfolio that theoretically includes all assets in the market, with each asset weighted according to its market capitalization.