Use the Binomial Theorem to Expand and Simplify the Expression $\left( x ^ { 3 / 4 } + 5 \right) ^ { 4 }$

question 15

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $\left( x ^ { 3 / 4 } + 5 \right) ^ { 4 }$

• A) \(x ^ { 3 } + 625\)
• B) \(x ^ { 3 } + 20 x ^ { 9 / 4 } + 150 x + 500 x ^ { 3 / 4 } + 625\)
• C) \(x ^ { 3 } + 20 x ^ { 9 / 5 } + 150 x ^ { 3 / 2 } + 500 x ^ { 3 / 4 } + 625\)
• D) \(x ^ { 3 } + 20 x ^ { 9 / 4 } + 150 x ^ { 3 / 2 } + 500 x ^ { 3 / 4 } + 625\)
• E) \(- x ^ { 3 } + 20 x ^ { 9 / 4 } + 150 x ^ { 3 / 2 } + 500 x + 625\)

---

Definitions:

Written Agreements

Contracts or legal documents that record the terms and details of a specific agreement between parties, and are signed by those involved.

Theoretical Foundation

The underlying principles and established theories that support and give credibility to a specific field of study or research.

Personal Development

Personal development encompasses activities that improve self-awareness, develop talents, and potential, enhance quality of life and contribute to the realization of dreams and aspirations.

Primary Focus

The main area of attention or concentration in any activity or project.