Find the Indicated Product $\left( 3 x ^ { n } - 8 \right) ^ { 2 }$

question 33

Multiple Choice

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( 3 x ^ { n } - 8 \right) ^ { 2 }$

• A) \(9 x ^ { 2 n } + 48 x ^ { n } + 64\)
• B) \(9 x ^ { n } { } ^ { 2 } - 48 x ^ { n } + 64\)
• C) \(9 x ^ { 2 n } - 48 x ^ { n } - 64\)
• D) \(9 x ^ { 2 n } - 48 x ^ { n } + 64\)
• E) \(9 x ^ { n } { } ^ { 2 } + 48 x ^ { n } - 64\)

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Definitions:

Initial Cost

The initial expense incurred to acquire an asset or start a project, excluding any subsequent costs.

Cash Flows

The sum of money flowing in and out of a company, particularly influencing its ability to cover short-term obligations.

Cost of Capital

The yield a business needs to generate from its project ventures to preserve its market valuation and draw in capital.

NPV

Net Present Value, a method used in capital budgeting to evaluate the profitability of an investment or project, by calculating the difference between the present value of cash inflows and outflows.