How do you multiply #3xy(-x^4-4x^2 y+5xy^2) #? Algebra Polynomials and Factoring Multiplication of Monomials by Polynomials 1 Answer Don't Memorise Jun 26, 2015 # = color(blue)(-3x^5y - 12x^3.y^2 + 15x^2y^3# Explanation: # color(blue)(3xy)(-x^4-4x^2y+5xy^2)# # =color(blue)(3xy) . (-x^4) + color(blue)(3xy) . (-4x^2y) + color(blue)(3xy) . (5xy^2)# # = color(blue)(-3x^5y - 12x^3.y^2 + 15x^2y^3# Answer link Related questions What is Multiplication of Monomials by Polynomials? How do you multiply monomials by polynomials? How do you multiply monomials by monomials? How do you multiply #(3xy^5)(-6x^4y^2)#? How do you multiply and simplify #6ab(-10a^2 b^3+c^5)#? How do you simplify #-3a^2b(9a^2-4b^2)#? How do you multiply #y(xy^4)#? How do you multiply #(2x-1)(x^3-2x^2+3x-4)#? How do you multiply #(5n^2)(2n^5 - 2n^3 3n^7)#? How do you simplify #2t^2+(3+5)(4t)#? See all questions in Multiplication of Monomials by Polynomials Impact of this question 1578 views around the world You can reuse this answer Creative Commons License