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:

Installment Sales Method

Accounting method that recognizes revenue when payments are received rather than at the point of sale.

Revenue

The total income generated by a company from its business activities, such as sales of goods or services, before any expenses are deducted.

Income

The financial gain earned by an individual or a company, usually measured over a specific time period and derived from various sources like sales or investments.

Construction Expense

Costs directly related to the construction of a building or infrastructure, including materials, labor, and other expenses incurred during the process of building.