Expand the Binomial by Using Pascal's Triangle to Determine the Coefficients

question 91

Multiple Choice

Expand the binomial by using Pascal's triangle to determine the coefficients.
$( 5 x - 4 y ) ^ { 6 }$

• A) \(15625 x ^ { 6 } - 75000 x ^ { 5 } y + 150000 x ^ { 4 } y ^ { 2 } - 160000 x ^ { 3 } y ^ { 3 } + 150000 x ^ { 2 } y ^ { 4 } - 30720 x y ^ { 5 } + 4096 y ^ { 6 }\)
• B) \(15625 x ^ { 6 } - 75000 x ^ { 5 } y + 100000 x ^ { 4 } y ^ { 2 } - 160000 x ^ { 3 } y ^ { 3 } + 96000 x ^ { 2 } y ^ { 4 } - 30720 x y ^ { 5 } + 4096 y ^ { 6 }\)
• C) \(15625 x ^ { 6 } - 75000 x ^ { 5 } y + 150000 x ^ { 4 } y ^ { 2 } - 160000 x ^ { 3 } y ^ { 3 } + 128000 x ^ { 2 } y ^ { 4 } - 30720 x y ^ { 5 } + 4096 y ^ { 6 }\)
• D) \(15625 x ^ { 6 } - 75000 x ^ { 5 } y + 150000 x ^ { 4 } y ^ { 2 } - 160000 x ^ { 3 } y ^ { 3 } + 96000 x ^ { 2 } y ^ { 4 } - 30720 x y ^ { 5 } + 4096 y ^ { 6 }\)
• E) \(15625 x ^ { 6 } - 75000 x ^ { 5 } y + 96000 x ^ { 4 } y ^ { 2 } - 160000 x ^ { 3 } y ^ { 3 } + 96000 x ^ { 2 } y ^ { 4 } - 30720 x y ^ { 5 } + 4096 y ^ { 6 }\)

---

Definitions:

Prospect Participation

Engaging potential clients or customers in the sales process to increase interest and likelihood of purchase.

Repeated Task

An activity or duty that is performed over and over again as part of a routine or job requirement.

Prospects Questions

Inquiries made by potential customers to gather more information about a product or service, crucial for their decision-making process.

Rehearsed Demonstrations

Pre-planned and practiced presentations of a product or service designed to showcase its features and benefits to potential customers.