Perform the Indicated Operation $$\frac { a } { a ^ { 2 } + 10 a + 25 } + \frac { 7 } { a ^ { 2 } + 7 a + 10 }$$

question 49

Multiple Choice

Perform the indicated operation. Simplify if possible.
- $$\frac { a } { a ^ { 2 } + 10 a + 25 } + \frac { 7 } { a ^ { 2 } + 7 a + 10 }$$

• A) \(\frac { a ^ { 2 } + 2 a + 7 } { ( a + 5 ) ^ { 2 } ( a + 2 ) }\)
• B) \(\frac { a ^ { 2 } + 2 a + 7 } { ( a + 5 ) ( a + 2 ) }\)
• C) \(\frac { a ^ { 2 } + 9 a + 35 } { ( a + 5 ) ^ { 2 } ( a + 2 ) }\)
• D) \(\frac { a ^ { 2 } - 9 a - 35 } { ( a + 5 ) ^ { 2 } ( a + 2 ) }\)

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Definitions:

Universal Causality

The principle that every event has a cause, suggesting a fundamental order to the universe and the predictability of phenomena.

Hume

A philosopher who contributed significantly to ethics, epistemology, and the philosophy of religion with his inquiry into human nature.

Billiard Balls

Often used in physics and philosophy as a metaphor or example to illustrate classical mechanics, causality, and the predictability of events under certain conditions.

Holistic

An approach or process that emphasizes the importance of the whole and the interdependence of its parts.