How do you factor #x^10 - y^2#? Algebra Polynomials and Factoring Factoring Completely 1 Answer Alan P. Jun 4, 2015 #x^10 - y^2 = (x^5)^2 -y^2# and therefore is the difference of squares with factors #color(white)("XXXX")##=(x^5-y)(x^5+y)# 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 2817 views around the world You can reuse this answer Creative Commons License