How do you factor x^6 - y^6? Algebra Polynomials and Factoring Special Products of Polynomials 1 Answer Harish Chandra Rajpoot Jul 9, 2018 x^6-y^6=(x-y)(x+y)(x^4+y^4+x^2y^2) Explanation: x^6-y^6 =(x^2)^3-(y^2)^3 =(x^2-y^2)((x^2)^2+(y^2)^2+(x^2)(y^2)) =(x^2-y^2)(x^4+y^4+x^2y^2) =(x-y)(x+y)(x^4+y^4+x^2y^2) Answer link Related questions What are the Special Products of Polynomials? What is a perfect square binomial and how do you find the product? How do you simplify by multiplying (x+10)^2? How do you use the special product for squaring binomials to multiply (1/4t+2 )^2? How do you use the special product of a sum and difference to multiply (3x^2+2)(3x^2-2)? How do you evaluate 56^2 using special products? How do you multiply (3x-2y)^2? How do you factor -8x^2 +32? How do you factor x^3-8y^3? How do you factor x^3 - 1? See all questions in Special Products of Polynomials Impact of this question 36545 views around the world You can reuse this answer Creative Commons License