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

question 61

Multiple Choice

Expand the binomial by using Pascal's Triangle to determine the coefficients.​ $( x + 2 y ) ^ { 5 }$ ​

• A) \(x ^ { 5 } + 10 x ^ { 4 } y + 40 x ^ { 3 } y ^ { 2 } - 80 x ^ { 2 } y ^ { 3 } + 80 x y ^ { 4 } + 32 y ^ { 5 }\)
• B) \(x ^ { 5 } - 10 x ^ { 4 } y + 40 x ^ { 3 } y ^ { 2 } + 80 x ^ { 2 } y ^ { 3 } + 80 x y ^ { 4 } + 32 y ^ { 5 }\)
• C) \(x ^ { 5 } + 10 x ^ { 4 } y + 40 x ^ { 3 } y ^ { 2 } + 80 x ^ { 2 } y ^ { 3 } - 80 x y ^ { 4 } - 32 y ^ { 5 }\)
• D) \(x ^ { 5 } + 10 x ^ { 4 } y + 40 x ^ { 3 } y ^ { 2 } + 80 x ^ { 2 } y ^ { 3 } + 80 x y ^ { 4 } + 32 y ^ { 5 }\)
• E) \(x ^ { 5 } + 10 x ^ { 4 } y - 40 x ^ { 3 } y ^ { 2 } - 80 x ^ { 2 } y ^ { 3 } - 80 x y ^ { 4 } + 32 y ^ { 5 }\)

---

Definitions:

Common Dividends

Payments made to shareholders from a company's earnings, reflecting the ownership interest in the corporation's profits.

Preemptive Rights

The right of existing shareholders to buy new shares before they are offered to the public, to maintain their proportionate ownership in the company.

Common Stockholders

These are investors who own shares of a company's common stock, granting them voting rights and a portion of the company's profits through dividends.

Hybrid Security

A financial instrument that combines characteristics of both equity and debt securities, offering a blend of risk and return features.