How do you factor #45x^2y+30xy-75xy^2#? Algebra Polynomials and Factoring Monomial Factors of Polynomials 1 Answer Bill Jorgensen May 18, 2018 #(15xy)(3x +2 -5y)# Explanation: #45x^2y + 30xy - 75xy^2# has a GCF #15xy# factor it out using the distributive property: #(15xy)(3x +2 -5y)# 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 1840 views around the world You can reuse this answer Creative Commons License