P2.4.5 - Binomial expansion for positive integer powers

Expand (a + bx)^n for positive integer n and use the notations n!, binomial coefficients and nCr.

Use binomial expansion for positive integer powers to connect the rule to the data and decision in the question.

This matters because binomial expansion for positive integer powers determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply binomial expansion for positive integer powers to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Binomial expansion for positive integer powers is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.