Perform the Indicated Operations and Simplify the Result $$\frac { \frac { x } { x + 4 } + 1 } { \frac { 12 } { x ^ { 2 } - 16 } + 1 }$$

question 257

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- $$\frac { \frac { x } { x + 4 } + 1 } { \frac { 12 } { x ^ { 2 } - 16 } + 1 }$$

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

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Definitions:

Logic

The study of reasoning, or the study of the principles and criteria of valid inference and demonstration.

Evaluating

The process of assessing or judging the value, nature, character, or quality of something.

Argument

A reason or set of reasons given with the aim of persuading others that an action or idea is right or wrong.

Diagramming

The process of creating a visual representation of information or systems, often used to simplify complex concepts.