How do you factor #p^4-q^4#? Algebra Polynomials and Factoring Factoring Completely 1 Answer Pratik B. May 24, 2015 Use the relation #p^2 - q^2 = (p-q)(p+q)# #p^4-q^4 =(p^2-q^2)(p^2+q^2)# # =(p-q)(p+q)(p^2+q^2)# 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 7729 views around the world You can reuse this answer Creative Commons License