Perform the Indicated Operations and Express Your Answer in Simplest $x - \frac { x ^ { 2 } } { x - 3 } + \frac { 3 } { x ^ { 2 } - 9 }$

question 132

Multiple Choice

Perform the indicated operations and express your answer in simplest form. $x - \frac { x ^ { 2 } } { x - 3 } + \frac { 3 } { x ^ { 2 } - 9 }$

• A) \(\frac { 3 x ^ { 2 } + 3 x + 3 } { x ^ { 2 } - 9 }\)
• B) \(\frac { - 3 x ^ { 2 } - 9 x + 3 } { ( x + 3 ) ( x - 3 ) }\)
• C) \(\frac { - 3 x ^ { 4 } - 9 x ^ { 2 } + 3 } { x ^ { 3 } + 3 x ^ { 3 } - 3 x - 27 }\)
• D) \(\frac { 3 x ^ { 2 } + 9 x + 3 } { ( x + 3 ) ( x - 3 ) }\)
• E) \(\frac { - 3 x ^ { 4 } - 9 x ^ { 2 } + 3 } { ( x + 3 ) \left( x ^ { 2 } - 9 \right) }\)

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Definitions:

Carrying Amount

The amount at which an asset is recognized in the balance sheet after deducting any accumulated depreciation (amortization) and accumulated impairment losses.

Value In Use

The value today of the cash flows that are expected to come from an asset or a revenue-producing entity in the future.

Impairment Loss

A reduction in the recoverable value of an asset below its carrying amount on the balance sheet, recognized as a loss.

Recoverable Amount

The higher value between an asset's fair value minus costs of disposal and its value in use.