Factor Completely $$\left( x ^ { 2 } - 4 \right) ^ { 2 } - 4 \left( x ^ { 2 } - 4 \right) - 96$$

question 49

Multiple Choice

Factor completely.
- $$\left( x ^ { 2 } - 4 \right) ^ { 2 } - 4 \left( x ^ { 2 } - 4 \right) - 96$$

• A) \(\left( x ^ { 2 } + 4 \right) ( x + 4 ) ^ { 2 }\)
• B) \(\left[ x ^ { 2 } + 4 \right) ( x + 4 ) ( x - 4 )\)
• C) \(\left( x ^ { 2 } - 4 \right) ( x + 4 ) ( x - 4 )\)
• D) \(x ^ { 4 } - 12 x ^ { 2 } - 64\)

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Definitions:

Mean

The average of a set of numbers, obtained by dividing the sum of the numbers by the count of numbers.

Normal Random Variable

A random variable that has a normal distribution, often used in statistics and probability theory.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how much the values differ from the mean of the set.

Mean

The arithmetic average of a data set, obtained by adding all the numbers and dividing by the count of numbers.