Perform the Indicated Operation $\frac { 2 x } { x ^ { 2 } - 16 } - \frac { 3 } { x ^ { 2 } - 5 x + 4 } + \frac { x + 1 } { x ^ { 2 } + 3 x - 4 }$

question 43

Multiple Choice

Perform the indicated operation. Simplify, if possible. $\frac { 2 x } { x ^ { 2 } - 16 } - \frac { 3 } { x ^ { 2 } - 5 x + 4 } + \frac { x + 1 } { x ^ { 2 } + 3 x - 4 }$

• A) \(\frac { 3 x + 4 } { ( x + 4 ) ( x - 1 ) }\)
• B) \(\frac { 3 x } { ( x + 4 ) ( x - 4 ) ( x - 1 ) }\)
• C) \(\frac { 3 x ^ { 2 } - 4 x } { ( x + 4 ) ( x - 4 ) ( x - 1 ) }\)
• D) \(\frac { 3 x ^ { 2 } - 2 x - 4 } { ( x + 4 ) ( x - 4 ) ( x - 1 ) }\)

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Definitions:

Price

The financial sum necessary for acquiring a good or service.

Willingness to Pay

The utmost expenditure an individual is comfortable making on a good or service, demonstrating the value they attribute to it.

Consumer Surplus

The difference between what consumers are willing to pay for a good or service and what they actually pay, indicating economic welfare.

Market Price

The present cost at which a good or service can be purchased or sold within a competitive market.