Find the Product $$( x y - 7 ) \left( x ^ { 2 } y ^ { 2 } + 2 x y + 6 \right)$$

question 123

Multiple Choice

Find the product. Assume all variable exponents represent whole numbers.
- $$( x y - 7 ) \left( x ^ { 2 } y ^ { 2 } + 2 x y + 6 \right)$$

• A) \(x ^ { 3 } y ^ { 3 } + 2 x ^ { 2 } y ^ { 2 } + 6 x y\)
• B) \(x ^ { 3 } y ^ { 3 } + 9 x ^ { 2 } y ^ { 2 } + 20 x y + 42\)
• C) \(7 x ^ { 3 } y ^ { 3 } - 14 x ^ { 2 } y ^ { 2 } - 42 x y\)
• D) \(x ^ { 3 } y ^ { 3 } - 5 x ^ { 2 } y ^ { 2 } - 8 x y - 42\)

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Definitions:

Mean Values

Statistical measures representing the average value in a set of data, calculated by summing all observations and dividing by the number of observations.

Individual

A single human being as distinct from a group, class, or family.

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The results or consequences of actions, processes, or games, which can be measured to assess performance or success.

Probabilities

The quantification of how probable an event is to happen, represented by a numerical value ranging from 0 to 1.