Use the Binomial Theorem to Expand the Binomial $$\left( \frac { x } { 2 } + y \right) ^ { 4 }$$

question 109

Multiple Choice

Use the binomial theorem to expand the binomial. $$\left( \frac { x } { 2 } + y \right) ^ { 4 }$$

• A) \(\frac { 1 } { 16 } x ^ { 4 } + \frac { 1 } { 8 } x ^ { 3 } y + \frac { 1 } { 4 } x ^ { 2 } y ^ { 2 } + \frac { 1 } { 2 } x y ^ { 3 } + y ^ { 4 }\)
• B) \(\quad x ^ { 4 } + x ^ { 3 } y + x ^ { 2 } y ^ { 2 } + x y ^ { 3 } + y ^ { 4 }\)
• C) \(\quad \frac { 1 } { 16 } x ^ { 4 } + \frac { 1 } { 2 } x ^ { 3 } y + \frac { 3 } { 2 } x ^ { 2 } y ^ { 2 } + 2 x y ^ { 3 } + y ^ { 4 }\)
• D) \(\frac { 1 } { 8 } x ^ { 4 } + \frac { 1 } { 2 } x ^ { 3 } y + \frac { 3 } { 2 } x ^ { 2 } y ^ { 2 } + 2 x y ^ { 3 } + y ^ { 4 }\)
• E) \(\frac { 1 } { 2 } x ^ { 4 } + y ^ { 4 }\)

---

Definitions:

Time-space Distanciation

Refers to the stretching of social systems across time and space, influenced by globalization, affecting how social interactions are organized.

Symbolic Tokens

Objects, signs, or symbols that represent something else, often carrying significant meanings within a culture.

Expert Systems

Computer programs that use artificial intelligence to mimic the decision-making abilities of a human expert in a specific domain.

Time Standardization

The process of synchronizing clocks and calendars globally to facilitate coordination and communication across different time zones.