How do you factor #x^4-y^4#? Algebra Polynomials and Factoring Factor Polynomials Using Special Products 1 Answer Deepak G. Jul 28, 2016 #=(x^2+y^2)(x+y)((x-y)# Explanation: Since formula #a^2-b^2=(a+b)(a-b)# can be applied here. #x^4-y^4# #=(x^2)^2-(y^2)^2# #=(x^2+y^2)(x^2-y^2)# #=(x^2+y^2)(x+y)((x-y)# Answer link Related questions How do you factor special products of polynomials? How do you identify special products when factoring? How do you factor #x^3 -8#? What are the factors of #x^3y^6 – 64#? How do you know if #x^2 + 10x + 25# is a perfect square? How do you write #16x^2 – 48x + 36# as a perfect square trinomial? What is the difference of two squares method of factoring? How do you factor #16x^2-36# using the difference of squares? How do you factor #2x^4y^2-32#? How do you factor #x^2 - 27#? See all questions in Factor Polynomials Using Special Products Impact of this question 22050 views around the world You can reuse this answer Creative Commons License