Use the Binomial Theorem to Expand and Simplify the Expression $( 2 x + y ) ^ { 3 }$

question 308

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( 2 x + y ) ^ { 3 }$

• A) \(8 x ^ { 3 } - 12 x ^ { 2 } y + 6 x y ^ { 2 } + y ^ { 3 }\)
• B) \(8 x ^ { 3 } + 12 x ^ { 2 } y - 6 x y ^ { 2 } + y ^ { 3 }\)
• C) \(x ^ { 3 } + 12 x ^ { 2 } y + 6 x y ^ { 2 } + y ^ { 3 }\)
• D) \(8 x ^ { 3 } + 12 x ^ { 2 } y + 6 x y ^ { 2 } + y ^ { 3 }\)
• E) \(8 x ^ { 3 } + 12 x ^ { 2 } y + 6 x y ^ { 2 } - y ^ { 3 }\)

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Definitions:

Chi-squared Test

The Chi-squared test is a statistical test used to compare observed data with data expected under a specific hypothesis, often used for testing relationships between categorical variables.

Normality

A property of a dataset or distribution where the data follow a normal (Gaussian) distribution.

Preference

An indication of someone's choice or likeliness for a particular option among a set of alternatives, often studied in consumer behavior and decision-making.

P-value Method

A statistical approach that helps to decide whether the observed data deviates significantly from the hypothesis being tested.