How do you factor #(3x-5)^3-125#? Algebra Polynomials and Factoring Factor Polynomials Using Special Products 1 Answer Shwetank Mauria Jul 18, 2016 #(3x-5)^3-125=(3x-10)(9x^2-15x+25)# Explanation: To factorize #(3x-5)^3-125#, as it is difference of two cubes, we can use the identity #a^3-b^3=(a+b)(a^2+ab+b^2)#. Hence, #(3x-5)^3-125# = #(3x-5-5)((3x-5)^2+5(3x-5)+5^2# = #(3x-10)(9x^2-30x+25+15x-25+25)# = #(3x-10)(9x^2-15x+25)# 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 1428 views around the world You can reuse this answer Creative Commons License