Expand the Expression Using the Binomial Theorem $$( 3 x - 2 y ) ^ { 3 }$$

question 7

Multiple Choice

Expand the expression using the Binomial Theorem.
- $$( 3 x - 2 y ) ^ { 3 }$$

• A) \(9 x ^ { 3 } y - 12 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 }\)
• B) \(27 x ^ { 3 } - 54 x ^ { 2 } y + 36 x y ^ { 2 } - 8 y ^ { 3 }\)
• C) \(9 x ^ { 3 } y - 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 }\)
• D) \(27 x ^ { 3 } - 18 x ^ { 2 } y + 12 x y ^ { 2 } - 8 y ^ { 3 }\)

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Definitions:

Bond Sinking Fund

A method employed by issuers of bonds to set aside money over time to retire their debt at maturity.

Retired Immediately

A term typically referring to the full settlement or pay off of an obligation or liability at the time of its maturity.

Carrying Value

The book value of an asset on a company's balance sheet, calculated as the original cost minus accumulated depreciation or amortization.

Semiannual Interest

Interest calculated and paid twice a year on an investment or loan.