Factor Out the Largest Possible Common Factor $20 x ^ { 8 } y ^ { 9 } - 40 x ^ { 6 } y ^ { 7 } - 28 x ^ { 4 } y ^ { 5 }$

question 110

Multiple Choice

Factor out the largest possible common factor.
- $20 x ^ { 8 } y ^ { 9 } - 40 x ^ { 6 } y ^ { 7 } - 28 x ^ { 4 } y ^ { 5 }$

• A) \(4 x ^ { 4 } y ^ { 5 } \left( 5 x ^ { 4 } y ^ { 4 } - 10 x ^ { 2 } y ^ { 2 } - 7 \right)\)
• B) \(4 \left( 5 x ^ { 8 } y ^ { 9 } - 10 x ^ { 6 } y ^ { 7 } - 7 x ^ { 4 } y ^ { 5 } \right)\)
• C) \(- 4 x ^ { 4 } y ^ { 5 } \left( - 5 x ^ { 4 } y ^ { 4 } - 10 x ^ { 2 } y ^ { 2 } + 7 \right)\)
• D) \(4 x ^ { 4 } \left( 5 x ^ { 4 } y ^ { 9 } - 10 x ^ { 2 } y ^ { 7 } - 7 y ^ { 5 } \right)\)

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Definitions:

Nonrival

A characteristic of a good or service where one person's use does not diminish its availability to others.

Marginal Cost

The increase in total production cost that arises from producing one additional unit of a good or service.

Public Good

A product or service that is provided without profit to all members of a society, either by the government or a private individual or organization.

Nonexcludable

A characteristic of a good where it is not possible to prevent individuals from accessing or consuming the good.