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:

Indifference Curves

A graphical representation showing combinations of goods or services among which a consumer is indifferent, depicting equal levels of utility.

Utility Function

A mathematical representation that assigns a level of utility or satisfaction to combinations of goods and services consumed.

Utility Function

A mathematical representation that captures preferences over a set of goods and services by assigning a utility value to each possible bundle.

Goods Y

A placeholder term often used in economics to refer to a specific category of goods under discussion or analysis, contrasting with another category labeled "Goods X".