Simplify the Rational Expression $\frac { x ^ { 2 } + 6 x - x y - 6 y } { x ^ { 2 } - x y + 5 x - 5 y }$

question 77

Multiple Choice

Simplify the rational expression.
- $\frac { x ^ { 2 } + 6 x - x y - 6 y } { x ^ { 2 } - x y + 5 x - 5 y }$

• A) \(\frac { x + 6 } { x - 5 }\)
• B) \(\frac { x + 6 } { x + 5 }\)
• C) \(\frac { 6 x - 6 y } { 5 x + 5 y }\)
• D) \(\frac { x - 6 } { x + 5 }\)

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Definitions:

Presumptive Reasoning

A form of logical thinking that makes assumptions based on general rules or past experiences, leading to conclusions that are taken as likely true.

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The tendency to maintain one's convictions even after they have been discredited or contradicted by new information.