How do you factor #8m^3-p^3#? Algebra Polynomials and Factoring Factoring Completely 1 Answer MattyMatty Mar 3, 2018 #(2m - p)(4m^2+2mp+p^2)# Explanation: #a^3 - b^3 = (a-b)(a^2+ab+b^2)# #"So here we have"# #a = 2 m# #b = p# #"So we get"# #(2m - p)(4m^2+2mp+p^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 1307 views around the world You can reuse this answer Creative Commons License