How do you multiply #3a^3b^2(-a^3b - a^2b^2)#? Algebra Polynomials and Factoring Multiplication of Polynomials by Binomials 1 Answer Don't Memorise Aug 21, 2015 #=color(blue)(-3a^5b^3(a-b)# Explanation: #color(blue)(3a^3b^2)(−a^3b−a^2b^2)# #=(color(blue)(3a^3b^2)) * (−a^3b) + (color(blue)(3a^3b^2) ) *(−a^2b^2)# #=-3a^3a^3b^2b −3a^3a^2b^2b^2# By property #color(blue)(a^m*a^n = a^(m+n)# Applying the same to exponents of #a# and #b# #=-3a^((3+3))b^((2+1)) −3a^((3+2))b^((2+2))# #=-3a^6b^3 −3a^5b^4# #=color(blue)(-3a^5b^3(a-b)# Answer link Related questions What is FOIL? How do you use the distributive property when you multiply polynomials? How do you multiply #(x-2)(x+3)#? How do you simplify #(-4xy)(2x^4 yz^3 -y^4 z^9)#? How do you multiply #(3m+1)(m-4)(m+5)#? How do you find the volume of a prism if the width is x, height is #2x-1# and the length if #3x+4#? How do you multiply #(a^2+2)(3a^2-4)#? How do you simplify #(x – 8)(x + 5)#? How do you simplify #(p-1)^2#? How do you simplify #(3x+2y)^2#? See all questions in Multiplication of Polynomials by Binomials Impact of this question 1611 views around the world You can reuse this answer Creative Commons License