Simplify the Expression $\frac { x ^ { 2 } - x - 6 } { x ^ { 2 } + 2 x } \cdot \frac { x ^ { 2 } + x } { x ^ { 2 } - 2 x - 3 }$

question 27

Multiple Choice

Simplify the expression. $\frac { x ^ { 2 } - x - 6 } { x ^ { 2 } + 2 x } \cdot \frac { x ^ { 2 } + x } { x ^ { 2 } - 2 x - 3 }$

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

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion in a set of values.

MTBF

Mean Time Between Failures, a reliability metric that measures the average time between system failures in a process or product.

System Reliability

The probability that a system will perform its intended function without failure under stated conditions for a specified period of time.

Redundant Check

A process or mechanism that is repeated or additional, used to verify accuracy or reliability to ensure errors are minimized.