Expand Using the Binomial Theorem $$( 4 x + y ) ^ { 3 }$$

question 70

Multiple Choice

Expand using the binomial theorem.
- $$( 4 x + y ) ^ { 3 }$$

• A) \(64 x ^ { 3 } + 48 x ^ { 2 } + 12 y ^ { 2 } + y ^ { 3 }\)
• B) \(64 x ^ { 3 } + 32 x ^ { 2 } y + 8 x y ^ { 2 } + y ^ { 3 }\)
• C) \(64 x ^ { 3 } + 48 x ^ { 2 } y + 12 x y ^ { 2 } + y ^ { 3 }\)
• D) \(64 x ^ { 3 } + 32 x ^ { 2 } + 8 y ^ { 2 } + y ^ { 3 }\)

---

Definitions:

Family Sponsorship

A process where a citizen or permanent resident sponsors a relative to immigrate to their country, often as part of family reunification programs.

Highly Educated

Refers to individuals who have obtained a high level of formal education, often including college or university degrees beyond the undergraduate level.

Skills-based Immigration

An immigration policy that favors applicants with skills, qualifications, and experience that are in demand in the receiving country.

Marginal Benefit (MB)

The extra advantage gained by using an additional unit of a product or service.