Perform the Operation Indicated $$\frac { x } { x ^ { 2 } - 16 } - \frac { 6 } { x ^ { 2 } + 5 x + 4 }$$

question 10

Multiple Choice

Perform the operation indicated. Simplify.
- $$\frac { x } { x ^ { 2 } - 16 } - \frac { 6 } { x ^ { 2 } + 5 x + 4 }$$

• A) \(\frac { x ^ { 2 } - 5 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)
• B) \(\frac { x ^ { 2 } - 5 x + 24 } { ( x - 4 ) ( x + 4 ) }\)
• C)\(\frac { x ^ { 2 } + 5 x + 24 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)
• D) \(\frac { x ^ { 2 } - 5 x + 24 } { ( x - 4 ) ( x + 4 ) ( x + 1 ) }\)

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Definitions:

Line Voltage

The voltage present in the electrical power transmission lines available for end users or machinery.

Phase Voltage

The voltage measured in a single phase of a multi-phase system, often used in the analysis of electrical power distribution.

Square Root

The value that, when multiplied by itself, gives the original number. It is often represented by the radical symbol √.

Horsepower Rating

A standard unit of measurement indicating the power output of motors or engines, equivalent to 746 watts.