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

question 342

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:

Premium

The excess of the issue price of bonds over their face amount; the excess of the issue price of stock over its par value.

Bonds Payable

A liability account that records the amount owed by an entity to holders of its bonds, to be repaid at a specified future date.

Straight-Line Method

An accounting method for calculating the depreciation of an asset, distributing its cost evenly across its useful life.

Interest-Bearing Note

A debt instrument that pays periodic interest payments to the holder until maturity, at which point the principal is repaid.