Factor the Polynomial by Substitution $$a ^ { 2 } ( a + b ) ^ { 2 } - a b ( a + b ) ^ { 2 } - 72 b ^ { 2 } ( a + b ) ^ { 2 }$$

question 262

Multiple Choice

Factor the polynomial by substitution.
- $$a ^ { 2 } ( a + b ) ^ { 2 } - a b ( a + b ) ^ { 2 } - 72 b ^ { 2 } ( a + b ) ^ { 2 }$$

• A) \(( a - 9 b ) ( a + 8 b ) ( a + b )\)
• B) \(( a + b ) ^ { 2 } ( a - 9 ) ( a + 8 )\)
• C) \(( a + b ) ^ { 2 } ( a - 8 b ) ( a + 9 b )\)
• D) \(( a + b ) ^ { 2 } ( a - 9 b ) ( a + 8 b )\)

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Definitions:

Lemons

A colloquial term in economic theory often referring to products of inferior quality sold because of asymmetric information between buyers and sellers.

Plums

A type of fruit belonging to the genus Prunus, known for its juicy and sweet flesh.

Distinguish

To recognize or point out the differences between two or more things or to identify as distinct.

Moral Hazard

A situation where one party engages in risky behavior or lacks incentive to guard against risk because another party bears the consequences of that behavior.