Perform the Indicated Operation $\frac { 8 x + 6 } { x ^ { 2 } + 7 x + 6 } - \frac { x - 1 } { x ^ { 2 } + 7 x + 6 }$

question 209

Multiple Choice

Perform the indicated operation. Simplify, if possible. $\frac { 8 x + 6 } { x ^ { 2 } + 7 x + 6 } - \frac { x - 1 } { x ^ { 2 } + 7 x + 6 }$

• A) \(\frac { 7 x + 5 } { ( x + 6 ) ( x + 1 ) }\)
• B) \(\frac { 7 x ^ { 2 } + 5 } { ( x + 6 ) ( x + 1 ) }\)
• C) \(\frac { 7 } { x + 6 }\)
• D) \(\frac { 7 ( x - 1 ) } { ( x + 6 ) }\)

---

Definitions:

Childhood

The stage of human development that spans from infancy to adolescence, characterized by rapid physical and psychological growth.

Conscious Decision

A deliberate choice or determination made with full awareness and intention.

Unconscious Processing

Cognitive processes that occur without conscious awareness or intent.

REM Sleep

Rapid Eye Movement sleep, a phase of sleep characterized by rapid movements of the eyes, low muscle tone, and vivid dreams.