Factor Out the Greatest Common Factor $6 x ^ { 2 } - 4 x y - 15 x y + 10 y ^ { 2 }$

question 603

Multiple Choice

Factor out the greatest common factor. Simplify the factors, if possible.
- $6 x ^ { 2 } - 4 x y - 15 x y + 10 y ^ { 2 }$

• A) \(( 2 x + 5 y ) ( 3 x - 2 y )\)
• B) \(( 6 x - 5 y ) ( x - 2 y )\)
• C) \(( 2 x - 5 y ) ( 3 x - 2 y )\)
• D) \(( 2 x - 5 ) ( 3 x - 2 )\)

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Definitions:

Heuristic

A mental shortcut that allows people to solve problems and make judgments quickly and efficiently.

Quasi-reflective Thinker

An individual at a stage of cognitive development where they recognize that some knowledge is uncertain, yet they struggle to integrate this uncertainty into their judgments.

Logical Consistency

The quality of being free from contradictions and logically coherent in argument or theory.

Purely Subjective

Based entirely on personal feelings, tastes, or opinions, without any external objective reference or measurement.