Use Pascal's Triangle to Expand the Binomial $$\left( x ^ { 3 } - 2 y ^ { 2 } \right) ^ { 5 }$$

question 74

Multiple Choice

Use Pascal's triangle to expand the binomial.
- $$\left( x ^ { 3 } - 2 y ^ { 2 } \right) ^ { 5 }$$

• A) \(x ^ { 15 } - 10 x ^ { 7 } y ^ { 2 } + 40 x ^ { 6 } y ^ { 4 } - 80 x ^ { 5 } y ^ { 5 } + 80 x ^ { 3 } y ^ { 6 } - 32 y ^ { 7 }\)
• B) \(x ^ { 15 } - 10 x ^ { 12 } y ^ { 2 } + 40 x ^ { 9 } y ^ { 4 } - 80 x ^ { 6 } y ^ { 6 } + 80 x ^ { 3 } y ^ { 8 } - 32 y 10\)
• C) \(x ^ { 15 } - 32 y ^ { 10 }\)
• D) \(x ^ { 15 } - 2 x ^ { 12 } y ^ { 2 } + 4 x ^ { 9 } y ^ { 4 } - 8 x ^ { 6 } y ^ { 6 } + 16 x ^ { 3 } y ^ { 8 } - 32 y ^ { 10 }\)

---

Definitions:

Years

Units of time representing a period of twelve months or 365 days, traditionally used as a measure of time passing.

Startup Stage

The early phases in the life cycle of a business where it is developing its product, market, and operations, often characterized by uncertainty and high risk.

Nascent Stage

The early development phase of a project or company, often characterized by high uncertainty and risk.

Entrepreneurial Transition

The process or phase where an entrepreneur or business undergoes significant change, often towards growth or diversification.