How do you factor the expression #125x^3 + 343y^3#? Algebra Polynomials and Factoring Factoring Completely 1 Answer Nghi N. Dec 10, 2015 Factor: #125x^3 + 343y^3# Ans: #(5x + 7y)(25x^2 - 35x + 49y^2)# Explanation: Use the algebraic identity: #a^3 + b^3 = (a + b)(a^2 - ab + b^2)# #125x^3 + 343y^3 = (5x + 7y)(25x^2 - 35xy + 49y^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 22467 views around the world You can reuse this answer Creative Commons License