Expand the Binomial $( 5 x - 2 y ) ^ { 3 }$

question 67

Multiple Choice

Expand the binomial.
- $( 5 x - 2 y ) ^ { 3 }$

• A) \(125 x ^ { 3 } - 50 x ^ { 2 } y + 20 x y ^ { 2 } - 8 y ^ { 3 }\)
• B) \(25 x ^ { 3 } y - 10 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 }\)
• C) \(25 x ^ { 3 } y - 20 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 }\)
• D) \(125 x ^ { 3 } - 150 x ^ { 2 } y + 60 x y ^ { 2 } - 8 y ^ { 3 }\)

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Definitions:

Population Proportion

A measure that describes the percentage of a specific characteristic in a population.

Z-test

An analysis technique that evaluates the difference in means between two populations with known variances and substantial sample sizes.

Nominal Data

Data categorized without a natural order or ranking, distinguished merely by name.

Binomial Experiment

A statistical experiment that adheres to the following criteria: fixed number of trials, only two possible outcomes, constant probability of success, and independence between trials.