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

question 7

Multiple Choice

Use the Binomial Theorem to expand the expression $( x + 3 y ) ^ { 4 }$ .

• A) \(x ^ { 4 } + 12 x ^ { 3 } y + 54 x ^ { 2 } y ^ { 2 } + 108 x y ^ { 3 } + 81 y ^ { 4 }\)
• B) \(x ^ { 4 } + 3 x ^ { 3 } y + 9 x ^ { 2 } y ^ { 2 } + 27 x y ^ { 3 } + 81 y ^ { 4 }\)
• C) \(x ^ { 4 } + 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } + y ^ { 4 }\)
• D) \(x ^ { 4 } + 81 y ^ { 4 }\)
• E) \(x ^ { 4 } + 15 x ^ { 3 } y + 90 x ^ { 2 } y ^ { 2 } + 135 x y ^ { 3 } + 81 y ^ { 4 }\)

Understand the concept of bounded rationality and its impact on problem identification.

Recognize the effects of information overload on decision making.

Identify the stages of the rational decision-making model where specific biases occur.

Define and recognize different cognitive biases, such as not-invented-here bias and anchoring effect.

---

Definitions:

Somatic Factors

Physical or bodily aspects that can influence or are related to psychological wellbeing, such as biology, genetics, or health conditions.

Psychological Approach

A method in psychology focused on understanding human behavior and mental processes by analyzing the underlying psychological principles, theories, and research.

General Paresis

A neuropsychiatric disorder associated with late-stage syphilis, leading to progressive dementia and paralysis.

Dementia

A broad term for a decline in mental ability severe enough to interfere with daily life, typically involving memory loss and difficulties with thinking, problem-solving, or language.