Factor Out the Largest Possible Common Factor $12 x ^ { 2 } + 20 x y - 15 x y - 25 y ^ { 2 }$

question 57

Multiple Choice

Factor out the largest possible common factor.
- $12 x ^ { 2 } + 20 x y - 15 x y - 25 y ^ { 2 }$

• A) \(( 12 x - 5 y ) ( x + 5 y )\)
• B) \(( 4 x + 5 y ) ( 3 x + 5 y )\)
• C) \(( 4 x - 5 y ) ( 3 x + 5 y )\)
• D) \(( 4 x - 5 ) ( 3 x + 5 )\)

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Definitions:

Linear Regression

A statistical method used to model the relationship between a dependent variable and one or more independent variables, adding complexity beyond simple linear regression.

Observations

Data collected or measured from a study or experiment on variables of interest.

Table Value

A specific value located in a statistical table that is used to determine the significance or critical values in hypothesis testing.

Correlation Coefficient

A numerical measure of some type of correlation, meaning a statistical relationship between two variables, indicating strength and direction of a linear relationship between them.