How do you factor the following differences of two cubes #54x^3-16y^6#? Algebra Polynomials and Factoring Factor Polynomials Using Special Products 1 Answer Massimiliano Apr 12, 2015 In this way: #54x^3-16y^6=2(27x^3-8y^6)=# #=2(3x-2y^2)(9x^2+6xy^2+4y^4)#. The rule is: #a^3-b^3=(a-b)(a^2+ab+b^2)#. Answer link Related questions How do you factor special products of polynomials? How do you identify special products when factoring? How do you factor #x^3 -8#? What are the factors of #x^3y^6 – 64#? How do you know if #x^2 + 10x + 25# is a perfect square? How do you write #16x^2 – 48x + 36# as a perfect square trinomial? What is the difference of two squares method of factoring? How do you factor #16x^2-36# using the difference of squares? How do you factor #2x^4y^2-32#? How do you factor #x^2 - 27#? See all questions in Factor Polynomials Using Special Products Impact of this question 1484 views around the world You can reuse this answer Creative Commons License