Perform the Indicated Operation $\frac { 2 x } { x ^ { 2 } - x - 6 } + \frac { x } { x ^ { 2 } + 8 x + 12 }$

question 45

Multiple Choice

Perform the indicated operation. Simplify, if possible. $\frac { 2 x } { x ^ { 2 } - x - 6 } + \frac { x } { x ^ { 2 } + 8 x + 12 }$

• A) \(\frac { 3 x ^ { 2 } + 9 x } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }\)
• B) \(\frac { 3 x } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }\)
• C) \(\frac { 3 x ^ { 2 } + 15 x } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }\)
• D) \(\frac { 3 x ^ { 2 } + 15 } { ( x + 2 ) ( x - 3 ) ( x + 6 ) }\)

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Definitions:

Intentions

Planned or desired outcomes that an individual seeks to achieve through specific actions.

Actions

Behaviours or deeds performed by individuals in response to external or internal stimuli.

Conformists

Individuals who comply with group norms or standards.

Base Rate Fallacy

The tendency to ignore or underuse base rate information and instead to be influenced by the distinctive features of the case being judged