Perform the Indicated Operations $$\frac { 3 } { 4 x - 8 } - \frac { 2 } { 3 x + 3 } + \frac { 3 } { 5 x + 10 }$$

question 18

Multiple Choice

Perform the indicated operations.
- $$\frac { 3 } { 4 x - 8 } - \frac { 2 } { 3 x + 3 } + \frac { 3 } { 5 x + 10 }$$

• A) \(\frac { 41 x ^ { 2 } + 99 x + 13 } { 12 x + 21 }\)
• B) \(\frac { 121 x ^ { 2 } + 99 x + 178 } { 12 x + 21 }\)
• C) \(\frac { 121 x ^ { 2 } + 99 x + 178 } { 60 ( x - 2 ) ( x + 1 ) ( x + 2 ) }\)
• D) \(\frac { 41 x ^ { 2 } + 99 x + 178 } { 60 ( x - 2 ) ( x + 1 ) ( x + 2 ) }\)

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Definitions:

Randomly Arranged

Items, subjects, or events are placed or selected without a specific pattern, order, or purpose, ensuring an unbiased distribution.

Retroactive Interference

A cognitive phenomenon where newer memories interfere with the recall of older memories, often studied in psychology and neuroscience.

Memorize Position

The action or process of learning something so that it can be recalled exactly from one's memory, particularly in terms of spatial location.

Recognize Patterns

The cognitive process of identifying similarities or regularities in data, sensory inputs, or symbolic representations, allowing for understanding and prediction of events.