How do you factor #10x^2-20xy+10y^2#? Algebra Polynomials and Factoring Factorization of Quadratic Expressions 1 Answer Narad T. Feb 3, 2017 The answer is #=10(x-y)^2# Explanation: We need #(a-b)^2=a^2-2ab+b^2# So, #10x^2-20xy+10y^2# #=10(x^2-2xy+y^2)# #=10(x-y)(x-y)# #=10(x-y)^2# Answer link Related questions How do you factor trinomials? What is factorization of quadratic expressions? How do you factor quadratic equations with a coefficient? What are some examples of factoring quadratic expressions? How do you check that you factored a quadratic correctly? How do you factor #x^2+16x+48#? How do you factor #x^2-9x+20#? Question #3fdac How do you factor #8+z^6#? There is no GCF to be factor out, so is there another method to complete this? How do you factor #2t^2+7t+3#? See all questions in Factorization of Quadratic Expressions Impact of this question 2870 views around the world You can reuse this answer Creative Commons License