Expand the Binomial $( p - q ) ^ { 6 }$

question 112

Multiple Choice

Expand the binomial.
- $( p - q ) ^ { 6 }$

• A) \(p ^ { 6 } - q ^ { 6 }\)
• B) \(\mathrm { p } ^ { 6 } - 8 \mathrm { p } ^ { 5 } \mathrm { q } + 17 \mathrm { p } ^ { 4 } \mathrm { q } ^ { 2 } - 22 \mathrm { p } ^ { 3 } \mathrm { q } ^ { 3 } + 17 \mathrm { p } ^ { 2 } \mathrm { q } ^ { 4 } - 8 \mathrm { pq } ^ { 5 } + \mathrm { q } ^ { 6 }\)
• C) \(p ^ { 6 } - 6 p ^ { 5 } q - 30 p ^ { 4 } q ^ { 2 } + 120 p ^ { 3 } q ^ { 3 } + 360 p ^ { 2 } q ^ { 4 } - 720 p q ^ { 5 } - 720 q ^ { 6 }\)
• D) \(p ^ { 6 } - 6 p ^ { 5 } q + 15 p ^ { 4 } q ^ { 2 } - 20 p ^ { 3 } q ^ { 3 } + 15 p ^ { 2 } q ^ { 4 } - 6 p q ^ { 5 } + q ^ { 6 }\)

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Definitions:

Doctrine of Mitigation

A legal principle that requires a party suffering loss due to a breach of contract to take reasonable steps to minimize the damage or loss.

Perishable Fruit

Food items that deteriorate quickly and require proper storage conditions to extend their shelf life.

Minimize Damages

Refers to efforts taken to reduce the severity or impact of damages or losses that occur, often in the context of legal disputes or insurance claims.

Specific Performance

A legal remedy whereby a court orders the breaching party in a contract to perform their promised obligations rather than simply providing monetary compensation for failure to perform.