Simplify the Expression $\frac { t - 4 } { t ^ { 2 } - 16 } \cdot \frac { t + 4 } { t ^ { 2 } + 16 }$

question 39

Multiple Choice

Simplify the expression. $\frac { t - 4 } { t ^ { 2 } - 16 } \cdot \frac { t + 4 } { t ^ { 2 } + 16 }$

• A) \(\frac { 1 } { t - 16 }\)
• B) \(\frac { 1 } { t ^ { 2 } + 16 }\)
• C) \(t ^ { 2 } + 16\)
• D) \(\frac { t ^ { 2 } - 4 } { t + 16 }\)
• E) \(\frac { t ^ { 2 } + 4 } { t + 16 }\)

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Definitions:

Cohesiveness

The degree to which members of a group are attracted to one another and motivated to stay in the group.

Randomly Assign

The process of allocating people or resources to groups or categories in a way that lacks any specific pattern, order, or objective.

Systems Theory Approach

A perspective that views entities as open systems interacting with their environments and emphasizes the interrelatedness of components within an entity.

Input-Process-Output Model

A framework used to understand how groups transform inputs (resources, information, etc.) through processes (communication, decision-making) to produce outputs (solutions, decisions).