Perform the Indicated Operation and Simplify $$\frac { 3 b ^ { 2 } - 14 b - 5 } { b ^ { 2 } - 25 } \cdot \frac { 2 b ^ { 2 } + 8 b - 10 } { 3 b ^ { 2 } + 10 b + 3 }$$

question 66

Multiple Choice

Perform the indicated operation and simplify. $$\frac { 3 b ^ { 2 } - 14 b - 5 } { b ^ { 2 } - 25 } \cdot \frac { 2 b ^ { 2 } + 8 b - 10 } { 3 b ^ { 2 } + 10 b + 3 }$$

• A) \(\frac { b - 2 } { b + 2 }\)
• B) \(\frac { 2 b } { b + 6 }\)
• C) \(\frac { 5 b + 2 } { b + 6 }\)
• D) \(\frac { 2 b - 2 } { b + 3 }\)
• E) \(\frac { 5 b - 3 } { b - 3 }\)

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Definitions:

Dynamic Power Shifting

The continuous change in the distribution of power among individuals or groups within a particular context or over time.

Constant Infighting

Ongoing, persistent conflicts or struggles for power within a group, organization, or institutional setting, often hindering progress or unity.

External Task Action

A strategy or measure taken outside the routine tasks to achieve a specific goal or to enhance performance.

Internal Relational Action

Actions focused within an organization aimed at fostering positive, cooperative relationships among its members.