How do you factor: y= 125x^3 - 8 ? Algebra Polynomials and Factoring Monomial Factors of Polynomials 1 Answer Deepak G. Jul 26, 2016 y=(5x-2)(25x^2+10x+4) Explanation: y=125x^3-8 or y=(5x)^3-(2)^3 Since a^3-b^3-(a-b)(a^2+ab+b^2) above equation can be written as y=(5x-2)((5x)^2+(5x)(2)+(2)^2) or y=(5x-2)(25x^2+10x+4) Answer link Related questions What are Monomial Factors of Polynomials? How do you factor polynomials by finding the greatest common factor? How can a factoring problem be checked? How do you find the greatest common factors of variable expressions? How do you factor 3a+9b+6? What is the greatest common factor of a^3-3a^2+4a? How do you factor 12xy+24xy^2+36xy^3? How do you find the greatest common factor of 45y^{12}+30y^{10}? How do you factor 92x^10y^4 - 54x^12y^9? How do you factor 4x^2+x? See all questions in Monomial Factors of Polynomials Impact of this question 6958 views around the world You can reuse this answer Creative Commons License