FP1.2.2 - Manipulation of expressions

Manipulation of expressions Knowledge of the identity α3 + β3 ≡ (α + β)3 − 3αβ(α + β). involving the sum of roots and product of roots.

Use fp1.2.2 - manipulation of expressions to connect the rule to the data and decision in the question.

This matters because fp1.2.2 - manipulation of expressions determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp1.2.2 - manipulation of expressions to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: FP1.2.2 - Manipulation of expressions is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.