Factor by Grouping $$10 x ^ { 3 } - 12 x ^ { 2 } y - 25 x y ^ { 2 } + 30 y ^ { 3 }$$

question 45

Multiple Choice

Factor by grouping.
- $$10 x ^ { 3 } - 12 x ^ { 2 } y - 25 x y ^ { 2 } + 30 y ^ { 3 }$$

• A) \(\left( 10 x ^ { 2 } - 5 y ^ { 2 } \right) ( x - 6 y )\)
• B) \(\left( 2 x ^ { 2 } - 5 y \right) ( 5 x - 6 y )\)
• C) \(\left( 2 x ^ { 2 } - 5 y ^ { 2 } \right) ( 5 x - 6 y )\)
• D) \(\left( 2 x ^ { 2 } + 5 y ^ { 2 } \right) ( 5 x + 6 y )\)

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Definitions:

Produced Units

The total number of units of product completed in a given period of time, often used to evaluate manufacturing efficiency.

Total Variable Cost

The sum of all variable costs (costs that change with the level of output) associated with producing a specific amount of goods or services.

Sold Units

The total number of units of a product that have been sold during a specific time period.

Selling Price

The amount a seller charges for a product or service.