Factor the Expression Completely $$( 2 x - 5 y ) ^ { 3 } + 125$$

question 66

Multiple Choice

Factor the expression completely. $$( 2 x - 5 y ) ^ { 3 } + 125$$

• A) \(\quad ( 2 x - 5 y + 5 ) \cdot \left( 4 x ^ { 2 } - 10 x - 20 x y + 25 y + 25 y ^ { 2 } + 25 \right)\)
• B) \(( 2 x - 5 y + 5 ) \cdot \left( 4 x ^ { 2 } - 10 x + 20 x y - 25 y + 25 y ^ { 2 } + 25 \right)\)
• C) \(( 2 x - 5 y + 5 ) \cdot \left( 4 x ^ { 2 } + 10 x + 20 x y - 25 y - 25 y ^ { 2 } + 25 \right)\)
• D) \(( 2 x + 5 y - 5 ) \cdot \left( 4 x ^ { 2 } + 10 x + 20 x y - 25 y - 25 y ^ { 2 } + 25 \right)\)
• E) \(\quad ( 2 x + 5 y - 5 ) \cdot \left( 4 x ^ { 2 } - 10 x - 20 x y + 25 y + 25 y ^ { 2 } + 25 \right)\)

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Definitions:

Denominator Degrees

This key term does not appear to be standard; however, it may refer to the denominator in statistical formulas where degrees of freedom are considered.

Estimated Form

In statistics, it refers to the version of an equation that estimates the parameters of a model based on sample data.

Unit

A standard measurement or quantity used as a basis for counting, comparison, or calculation.

Critical Value

A threshold point on the test distribution that is compared against the test statistic to determine whether to reject the null hypothesis.