Perform the Indicated Operation $\frac { 4 x - 1 } { x ^ { 2 } - 3 x - 10 } - \frac { x } { x ^ { 2 } - 4 }$

question 172

Multiple Choice

Perform the indicated operation. Simplify, if possible. $\frac { 4 x - 1 } { x ^ { 2 } - 3 x - 10 } - \frac { x } { x ^ { 2 } - 4 }$

• A) \(\frac { 3 x - 1 } { ( x - 5 ) ( x + 2 ) ( x - 2 ) }\)
• B) \(\frac { 3 x ^ { 2 } - 14 x + 2 } { ( x - 5 ) ( x + 2 ) ( x - 2 ) }\)
• C) \(\frac { 3 x ^ { 2 } - 4 x + 2 } { ( x - 5 ) ( x + 2 ) ( x - 2 ) }\)
• D) \(\frac { 3 x - 1 } { ( x - 5 ) ( x + 2 ) }\)

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Definitions:

Conscious

The quality or state of being aware of an external object or something within oneself.

Unpredictable

Having the characteristic of being unable to be foreseen or anticipated due to variability or lack of a discernible pattern.

Unique

Being the only one of its kind; unlike anything else.

Enduring

Pertaining to the ability to withstand stress or adversity over a long period.