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 5289 views around the world You can reuse this answer Creative Commons License