Simplify the Complex Fraction $$\frac { \frac { x ^ { 2 } - 1 } { x ^ { 2 } + 9 x + 8 } } { \frac { x ^ { 2 } + 6 x - 16 } { x ^ { 2 } + 4 x - 32 } }$$

question 173

Multiple Choice

Simplify the complex fraction.
- $$\frac { \frac { x ^ { 2 } - 1 } { x ^ { 2 } + 9 x + 8 } } { \frac { x ^ { 2 } + 6 x - 16 } { x ^ { 2 } + 4 x - 32 } }$$

• A) \(\frac { ( x + 1 ) ( x - 4 ) } { ( x - 8 ) ( x + 2 ) }\)
• B) \(\frac { ( x - 1 ) ( x - 4 ) } { ( x + 8 ) ( x - 2 ) }\)
• C) \(\frac { ( x - 1 ) ( x + 4 ) } { ( x + 8 ) ( x + 2 ) }\)
• D) \(\frac { ( x + 8 ) ( x - 4 ) } { ( x - 1 ) ( x + 2 ) }\)

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Definitions:

Precisely Balanced System

A system fine-tuned to maintain equilibrium among its components, ensuring stable functioning.

Adequate

Sufficient to satisfy a requirement or meet a need; satisfactory in quality or quantity.

Multidimensional

Referring to phenomena, concepts, or objects that have several different aspects, components, or layers, making them complex and varied in their characteristics.

Cognitive Process

Mental activities involved in acquiring, processing, and storing knowledge, such as perception, reasoning, and memory.