How do you multiply #5x^2y(x^2+2xy+7)#? Algebra Polynomials and Factoring Multiplication of Monomials by Polynomials 1 Answer Alan P. Nov 7, 2016 #5x^4y+10x^3y^2+35x^2y# Explanation: Using the distributive property: #color(white)("XXX")color(red)(5x^2y)(color(blue)(x^2+2xy+7))# #color(white)("XXX")=color(red)(5x^2y) * color(blue)(x^2) + color(red)(5x^2y) * color(blue)(2xy) +color(red)(5x^2y) * color(blue)7# #color(white)("XXX")=5x^4ycolor(white)("XXx")+10x^3y^2color(white)("XX")+35x^2y# 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 1398 views around the world You can reuse this answer Creative Commons License