Factorise the cubic polynomial $x^3-3x^2+3x-1$

Step-by-step solution

1. Recognise the pattern $(x-1{)}^3=x^3-3x^2+3x-1$.
2. Rewrite the given polynomial as $(x-1{)}^3$.
3. Thus the factorisation is $(x-1{)}^3$.

Concept tested: Recognising a perfect cube in a cubic

Published 7 October 2026 · How this solution was prepared and checked