Simplify the Expression $\frac { 1 } { a } - \frac { 2 } { a ^ { 2 } b } + \frac { 1 } { b ^ { 2 } }$

question 30

Multiple Choice

Simplify the expression. $\frac { 1 } { a } - \frac { 2 } { a ^ { 2 } b } + \frac { 1 } { b ^ { 2 } }$

• A) \(\frac { b ^ { 2 } - 3 a b + 4 a ^ { 2 } } { 2 a ^ { 2 } b ^ { 2 } }\)
• B) \(\frac { b - 3 a b + 2 a } { 2 a b }\)
• C) \(\frac { b ^ { 2 } - 3 a b + 6 a ^ { 2 } } { 3 a ^ { 2 } b ^ { 2 } }\)
• D) \(\frac { a b ^ { 2 } - 2 b + a ^ { 2 } } { a ^ { 2 } b ^ { 2 } }\)
• E) \(\frac { a b ^ { 2 } - 3 a b + 2 a ^ { 2 } b } { a ^ { 3 } b ^ { 3 } }\)

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Definitions:

Straight-line Method

A method of calculating depreciation by evenly spreading the cost of an asset over its expected useful life.

Serial Bond

A type of bond that matures in installments over a period of time rather than having a single maturity date.

Principal

The initial amount of money borrowed or invested, excluding any interest or dividends.

Installments

Regular, often monthly, payments made towards settling a debt or purchasing a product over time.