Expand the Binomial $$( x - y ) ^ { 5 }$$

question 149

Multiple Choice

Expand the binomial.
- $$( x - y ) ^ { 5 }$$

• A) \(x ^ { 5 } - 5 x ^ { 4 } y + 10 x ^ { 3 } y ^ { 2 } - 10 x ^ { 2 } y ^ { 3 } + 5 x y ^ { 4 } - y ^ { 5 }\)
• B) \(x ^ { 5 } - y ^ { 5 }\)
• C) \(- x ^ { 5 } + 5 x ^ { 4 } y - 10 x ^ { 3 } y ^ { 2 } + 10 x ^ { 2 } y ^ { 3 } - 5 x y ^ { 4 } + y ^ { 5 }\)
• D) \(x ^ { 5 } + 5 x ^ { 4 } y + 10 x ^ { 3 } y ^ { 2 } + 10 x ^ { 2 } y ^ { 3 } + 5 x y ^ { 4 } + y ^ { 5 }\)

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Definitions:

Construct

An abstract concept or idea that is chosen for study, usually representing phenomena that are not directly observable.

Variance

A statistical measure that indicates the spread of a dataset or the distribution of data points.

Dependent Variables

Variables in experimental research that are affected by manipulations of the independent variable, observed to understand the effects of the intervention.

Construct

An abstract concept that is specifically chosen or created for scientific inquiry to explain behaviors or phenomena.