How do you simplify -3a^2b(9a^2-4b^2)? Algebra Polynomials and Factoring Multiplication of Monomials by Polynomials 1 Answer BRIAN M. Oct 30, 2014 In order to simplify -3a^2b(9a^2-4b^2) you would use the distributive property and multiply -3a^2b by each of the terms in the parenthesis. -3a^2b(9a^2) - -3a^2b(4b^2) (a^2)(a^2) = (a)(a)(a)(a) = a^4 (b)(b^2) = (b)(b)(b) = b^3 -27a^4b - (-12a^2b^3) Simplify the signs. -27a^4b + 12a^2b^3 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 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)? How do you multiply 6a ^ -4 (a ^ 5 + 3x ^2 )? See all questions in Multiplication of Monomials by Polynomials Impact of this question 4253 views around the world You can reuse this answer Creative Commons License