Find the Partial Fraction Decomposition Of $\frac { 4 } { x ^ { 3 } - 4 x ^ { 2 } + 4 x }$

question 92

Multiple Choice

Find the partial fraction decomposition of $\frac { 4 } { x ^ { 3 } - 4 x ^ { 2 } + 4 x }$

• A) \(- \frac { 1 } { 4 x } + \frac { 1 } { 8 ( x - 2 ) } + \frac { 1 } { 8 ( x + 2 ) }\)
• B) \(\frac { 1 } { 2 x } - \frac { 2 } { ( x - 2 ) } + \frac { 4 } { ( x - 2 ) ^ { 2 } }\)
• C) \(- \frac { 1 } { x } + \frac { 2 } { ( x - 2 ) } - \frac { 1 } { ( x + 2 ) }\)
• D) \(\frac { 1 } { x } - \frac { 1 } { ( x - 2 ) } + \frac { 2 } { ( x - 2 ) ^ { 2 } }\)
• E)none

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Definitions:

Mine Coal

The process of extracting coal from the earth, which involves the removal of overburden and digging into coal seams.

Extraction Costs

The expenses associated with the removal of resources or raw materials from the earth for use or sale.

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The expenses incurred by using an asset or service, including maintenance and opportunity costs.

Quantity Extracted

The total amount of a resource or product that is removed from its source.