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:

Encoders

Devices that convert motion or position into an electrical signal, often used for feedback in control systems.

Precisely Determined

Accurately established or calculated with precision, leaving no ambiguity about the result or outcome.

Servo Motors

Motors equipped with feedback systems to control the position, velocity, or torque of the motor with high precision.

Open Loop

A system that has no feedback or auto correction.