How do you simplify −3a2b(9a2−4b2)? Algebra Polynomials and Factoring Multiplication of Monomials by Polynomials 1 Answer BRIAN M. Oct 30, 2014 In order to simplify −3a2b(9a2−4b2) you would use the distributive property and multiply −3a2b by each of the terms in the parenthesis. −3a2b(9a2) - −3a2b(4b2) (a2)(a2) = (a)(a)(a)(a) = a4 (b)(b2) = (b)(b)(b) = b3 −27a4b−(−12a2b3) Simplify the signs. −27a4b+12a2b3 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 (3xy5)(−6x4y2)? How do you multiply and simplify 6ab(−10a2b3+c5)? How do you multiply y(xy4)? How do you multiply (2x−1)(x3−2x2+3x−4)? How do you multiply (5n2)(2n5−2n33n7)? How do you simplify 2t2+(3+5)(4t)? How do you multiply 6a−4(a5+3x2)? See all questions in Multiplication of Monomials by Polynomials Impact of this question 4295 views around the world You can reuse this answer Creative Commons License