Find the Coefficient $a$ Of the Term in the Expansion of the Binomial

question 109

Multiple Choice

Find the coefficient $a$ of the term in the expansion of the binomial.
Binomial     $( 4 x + 3 y ) ^ { 6 }$
Term     $a x ^ { 2 } y ^ { 4 }$

• A) \(a = 10\)
• B) \(a = 19,440\)
• C) \(a = 12\)
• D) \(a = 729\)
• E) \(a = 360\)

---

Definitions:

Nomothetic

Refers to the approach in psychology that aims to study what we share with others, focusing on general laws or principles that apply to all people.

Mechanistic

A view or theory that regards complex processes as being governed by simple physical or chemical principles, often compared to the workings of a machine.

Cognitive

Related to the processes of thinking, understanding, learning, and remembering.

Internal

Referring to something situated inside or within; often related to processes or features within an organism or system.