Use the Binomial Theorem to Expand and Simplify the Expression $( \sqrt { x } + 7 ) ^ { 3 }$

question 41

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $( \sqrt { x } + 7 ) ^ { 3 }$ ​

• A) \(x ^ { 3 / 2 } + 21 x + 147 x ^ { 2 } + 343\)
• B) \(x ^ { 3 / 2 } + 21 x - 147 x ^ { 1 / 2 } + 343\)
• C) \(x ^ { 3 } + 21 x + 147 x ^ { 1 / 2 } + 343\)
• D) \(x ^ { 3 } + 21 x ^ { 2 } + 147 x + 343\)
• E) \(x ^ { 3 / 2 } + 21 x + 147 x ^ { 1 / 2 } + 343\)

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Definitions:

Single Index Model

A simplified model to estimate security returns that relates these returns to a single market index, accounting for market risk.

Portfolio's Sigma

Portfolio's Sigma, often synonymous with standard deviation, quantifies the overall risk or volatility of a portfolio, indicating how its returns can vary from the expected return.

Single Index Model

A financial model that describes the return of a stock as a function of the return of a market index, plus a residual unique to the stock.

Actual Return

The real return an investor receives on an investment, factoring in all gains, losses, dividends, and interest.