Expand the Binomial by Using the Binomial Theorem $$( 4 p - 5 q ) ^ { 5 }$$

question 156

Multiple Choice

Expand the binomial by using the binomial theorem.
- $$( 4 p - 5 q ) ^ { 5 }$$

• A) \(1,024 p ^ { 5 } - 6,400 p ^ { 4 } q + 16,000 p ^ { 3 } q ^ { 2 } - 20,000 p ^ { 2 } q ^ { 3 } + 12,500 p q ^ { 4 } - 3,125 q ^ { 5 }\)
• B) \(1,024 p ^ { 5 } - 3,125 q ^ { 5 }\)
• C) \(1,024 p ^ { 5 } - 6,400 p ^ { 4 } q + 8,000 p ^ { 3 } q ^ { 2 } - 10,000 p ^ { 2 } q ^ { 3 } + 12,500 p q ^ { 4 } - 3,125 q ^ { 5 }\)
• D) \(1,024 p ^ { 5 } - 12,500 p ^ { 4 } q + 20,000 p ^ { 3 } q ^ { 2 } - 16,000 p ^ { 2 } q ^ { 3 } + 6,400 p q ^ { 4 } - 3,125 q ^ { 5 }\)

---

Definitions:

Heirs

Individuals legally entitled to inherit a deceased person's assets under statutory or testamentary succession laws.

Stop-payment Order

A request made to a bank by an account holder to not pay a check or payment that has been issued but not yet processed.

Defective

Refers to a flaw or imperfection in a product or service that makes it unsafe or unsuitable for its intended use.

Dishonors

The refusal or inability of a bank to pay a check or draft when presented for payment.