How do you multiply #4y(2y-3)-5(2-y)#? Algebra Polynomials and Factoring Multiplication of Polynomials by Binomials 1 Answer Don't Memorise Jun 26, 2015 # = color(blue)(8y^2 - 7y -10)# Explanation: # color(blue)(4y)(2y-3)-color(green)(5)(2-y)# #= [color(blue)(4y) . (2y) + color(blue)(4y) . (-3)] - [color(green)(5).(2) +color(green)(5).(-y)]# # = color(blue)(8y^2 - 12y) - color(green)(10 + 5y)# combining # = color(blue)(8y^2 - 7y -10)# 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 1512 views around the world You can reuse this answer Creative Commons License