Expand the Binomial $( \sqrt { x } - \sqrt { y } ) ^ { 4 }$

question 107

Multiple Choice

Expand the binomial.
- $( \sqrt { x } - \sqrt { y } ) ^ { 4 }$

• A) \(x ^ { 2 } - 4 x \sqrt { x y } + 6 x y - 4 y \sqrt { x y } + y ^ { 2 }\)
• B) \(- x ^ { 2 } - 4 x \sqrt { x y } - 6 x y - 4 y \sqrt { x y } - y ^ { 2 }\)
• C) \(x ^ { 2 } + 4 x \sqrt { x y } + 6 x y + 4 y \sqrt { x y } + y ^ { 2 }\)
• D) \(x ^ { 2 } + y ^ { 2 }\)

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Definitions:

Binomial Variable

Variable consisting of exactly two categories.

Probabilities

The measure of the likelihood that an event will occur, often expressed as a number between 0 and 1.

Values

The importance, worth, or usefulness of something, or a set of beliefs or standards of behavior.

Null Hypothesis

A statement suggesting that there is no significant difference or relationship between specified populations, any observed effect is due to sampling or experimental error.