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

question 95

Multiple Choice

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

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

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Definitions:

Sherman Antitrust Act

A landmark federal statute in the United States passed in 1890 aimed at regulating competition among enterprises, prohibiting monopolistic practices and promoting fair competition.

Tying

A form of anti-competitive practice where a seller requires the buyer to purchase another one of their products as a condition of buying the desired product.

Restraint of Trade

Activities or agreements that restrict competition or obstruct free trade in the marketplace.

Predatory Pricing

Predatory pricing involves setting prices extremely low with the intent to eliminate competition, often considered an anti-competitive practice.