Perform the Indicated Operation and Simplify $\left( 5 x ^ { 4 } + 6 y ^ { 6 } \right) ^ { 2 }$

question 17

Multiple Choice

Perform the indicated operation and simplify. $\left( 5 x ^ { 4 } + 6 y ^ { 6 } \right) ^ { 2 }$

• A) \(25 x ^ { 8 } - 60 x ^ { 4 } y ^ { 6 } - 36 y ^ { 12 }\)
• B) \(25 x ^ { 8 } + 60 x ^ { 4 } y ^ { 6 } + 36 y ^ { 12 }\)
• C) \(25 x ^ { 8 } + 30 x ^ { 4 } y ^ { 6 } + 36 y ^ { 12 }\)
• D) \(25 x ^ { 8 } - 30 x ^ { 4 } y ^ { 6 } + 36 y ^ { 12 }\)
• E) \(25 x ^ { 8 } - 60 x ^ { 4 } y ^ { 6 } + 36 y ^ { 12 }\)

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Definitions:

Interaction

In statistics, refers to the situation where the effect of one independent variable on a dependent variable differs depending on the level of another independent variable.

Regression Equation

An equation that represents the relationship determined by regression analysis, predicting the dependent variable based on independent variables.

Dummy Variable

A variable used in regression analysis that assumes the value 0 or 1 to indicate the absence or presence of some categorical effect.

Independent Variable

A variable that is manipulated to determine its effect on a dependent variable within an experimental study.