How do you find the product of #(-9x^2-10y)^2#? Algebra Polynomials and Factoring Multiplication of Polynomials by Binomials 1 Answer Alan P. Jul 8, 2016 #(-9x^2-10y)^2=color(blue)(81x^4+180x^2y+100y^2)# Explanation: In general #(a+b)^2=a^2+2ab+b^2# If #a=-9x^2# and #b=-10y# then #color(white)("XXX")a^2color(white)("XXX")=81x^4# #color(white)("XXX")2abcolor(white)("XX")=180x^2y# #color(white)("XXX")b^2color(white)("XXX")=underline(100y^2)# #color(white)("XXXXXXXXXX")81x^4+180x^2y+100y^2# 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 2022 views around the world You can reuse this answer Creative Commons License