How do you factor #x^3 - 9x^2 +27x - 27#? Algebra Polynomials and Factoring Factoring Completely 1 Answer Cem Sentin Jul 2, 2018 #(x-3)^3# Explanation: #x^3-9x^2+27x-27# =#x^3-27-9x^2+27x# =#(x-3)(x^2+3x+9)-9x(x-3)# =#(x-3)*(x^2+3x+9-9x)# =#(x-3)*(x^2-6x+9)# =#(x-3)*(x-3)^2# =#(x-3)^3# Answer link Related questions What is Factoring Completely? How do you know when you have completely factored a polynomial? Which methods of factoring do you use to factor completely? How do you factor completely #2x^2-8#? Which method do you use to factor #3x(x-1)+4(x-1) #? What are the factors of #12x^3+12x^2+3x#? How do you find the two numbers by using the factoring method, if one number is seven more than... How do you factor #12c^2-75# completely? How do you factor #x^6-26x^3-27#? How do you factor #100x^2+180x+81#? See all questions in Factoring Completely Impact of this question 37067 views around the world You can reuse this answer Creative Commons License