Simplify the Complex Fraction $\frac { \left( \frac { x ^ { 2 } + 5 x - 36 } { x + 6 } \right) } { 3 x - 12 }$

question 21

Multiple Choice

Simplify the complex fraction. $\frac { \left( \frac { x ^ { 2 } + 5 x - 36 } { x + 6 } \right) } { 3 x - 12 }$

• A) \(\frac { x + 9 } { 3 ( x + 6 ) } , x \neq 4\)
• B) \(\frac { x - 9 } { 3 ( x + 6 ) } , x \neq - 4\)
• C) \(\frac { x - 4 } { 3 ( x - 9 ) } , x \neq - 4\)
• D) \(\frac { x + 6 } { 3 ( x - 4 ) } , x \neq 4\)
• E) \(\frac { x + 4 } { 3 ( x + 9 ) } , x \neq 4\)

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Definitions:

Ekman

Refers to Paul Ekman, a psychologist who is a pioneer in the study of emotions and their relation to facial expressions.

Facial Expressions

Observable movements of the face that convey emotions, reactions, or intentions.

Universal

Pertaining to characteristics or principles that apply to all members of a category or to an entire entity without exceptions.

Intraspecific Aggression

Aggressive behavior directed towards members of the same species, often for reasons such as competition for resources or mate selection.