Use the Binomial Theorem to Expand and Simplify the Expression $( y - 3 ) ^ { 5 }$

question 25

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $( y - 3 ) ^ { 5 }$ ​

• A) \(y ^ { 5 } - 15 y ^ { 4 } + 90 y ^ { 3 } - 270 y ^ { 2 } + 405 y - 243\)
• B) \(y ^ { 5 } - 15 y ^ { 4 } - 90 y ^ { 3 } - 270 y ^ { 2 } + 405 y - 243\)
• C) \(y ^ { 5 } + 15 y ^ { 4 } - 90 y ^ { 3 } + 270 y ^ { 2 } - 405 y + 243\)
• D) \(y ^ { 5 } - 15 y ^ { 4 } + 90 y ^ { 3 } - 270 y ^ { 2 } - 405 y - 243\)
• E) \(y ^ { 5 } - 15 y ^ { 4 } - 90 y ^ { 3 } - 270 y ^ { 2 } - 405 y - 243\)

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Definitions:

Causation

is the action of causing something, referring to a relationship between two events where one event (the cause) is understood to directly result in the other event (the effect).

Third-variable Problem

A situation in correlation studies where a variable that has not been measured accounts for the relationship between two other variables, potentially misleading the results.

Independent Variables

Factors or conditions in an experiment that are manipulated or changed by the researcher to observe their effects on the dependent variables.

Dependent Variables

Variables in experimental research that are expected to change as a result of the manipulation of the independent variable.