Use the Binomial Theorem to Expand the Expression $( 4 x + 3 ) ^ { 3 }$

question 113

Multiple Choice

Use the binomial theorem to expand the expression.
- $( 4 x + 3 ) ^ { 3 }$

• A) \(16 x ^ { 2 } + 24 x + 9\)
• B) \(64 x ^ { 3 } + 144 x ^ { 2 } + 108 x + 27\)
• C) \(64 x ^ { 3 } + 144 x ^ { 2 } + 144 x + 27\)
• D) \(16 x ^ { 6 } + 12 x ^ { 3 } + 729\)

---

Definitions:

Collude Tacitly

The act of companies indirectly coordinating their actions, such as setting prices or output levels, without explicit agreement or communication, often to avoid legal penalties.

Horizontal Mergers

The combination of two or more firms operating at the same level of the supply chain in the same or different industries, potentially increasing market share and efficiency but also raising antitrust concerns.

Vertical Mergers

Mergers between companies in different stages of production or distribution within the same industry.

Conglomerate Mergers

A type of merger where firms from unrelated business sectors combine to form a larger entity.