Perform the Indicated Operations and Simplify $\left( x ^ { 2 } - b ^ { 2 } y ^ { 2 } \right) \left( x ^ { 2 } - c x y + a y ^ { 2 } \right)$

question 78

Multiple Choice

Perform the indicated operations and simplify. $\left( x ^ { 2 } - b ^ { 2 } y ^ { 2 } \right) \left( x ^ { 2 } - c x y + a y ^ { 2 } \right)$

• A) \(x ^ { 4 } - c x ^ { 3 } y + a x ^ { 2 } y ^ { 2 } - b ^ { 2 } y ^ { 2 } x ^ { 2 } + b ^ { 2 } c y ^ { 3 } x - a b ^ { 2 } y ^ { 4 }\)
• B) \(x ^ { 4 } - x ^ { 3 } c y + x ^ { 2 } a y ^ { 2 } + b ^ { 2 } y ^ { 3 } c x - b ^ { 2 } y ^ { 4 } a\)
• C) \(x ^ { 2 } - x ^ { 3 } y + x ^ { 2 } a y ^ { 2 } - b ^ { 2 } y ^ { 3 } c x - a b ^ { 2 } y ^ { 4 }\)
• D) \(a ^ { 2 } x ^ { 4 } - a x ^ { 2 } y ^ { 2 } - y ^ { 4 }\)
• E) \(x ^ { 4 } - c x ^ { 3 } y + a x ^ { 2 } y ^ { 2 } - c y ^ { 3 } x - a b ^ { 2 } y ^ { 4 }\)

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Definitions:

Marginal Error

The amount of error allowed in the results of a survey or experiment, affecting how the results can be interpreted; commonly associated with the term "margin of error."

Confidence

A degree of certainty or belief in a proposition, often quantified in statistics as a confidence level in interval estimates.

Sample Size

The number of individuals or observations included in a sample drawn from a population.

Divorce Rate

A measure of the number of divorces that occur in a given population during a specified period, commonly expressed per 1,000 residents per year.