How do you simplify #b(a + b) - a(a - b)#? Algebra Polynomials and Factoring Multiplication of Monomials by Polynomials 1 Answer Don't Memorise Jul 5, 2015 #=color(green)(b^2-a^2+2ab# Explanation: #color(blue)(b)(a+b)−color(green)(a)(a−b)# #=color(blue)(b) . (a) +color(blue)(b) .(b)−color(green)(a) . (a)−color(green)(a) .(-b)# #=ab +b^2-a^2+ab# #=color(green)(b^2-a^2+2ab# 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 4986 views around the world You can reuse this answer Creative Commons License