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 6655 views around the world You can reuse this answer Creative Commons License