How do you simplify #(4x+9y) (4x-9y) #? Algebra Polynomials and Factoring Multiplication of Polynomials by Binomials 1 Answer Alan P. May 9, 2016 #(4x+9y)(4x-9y)=color(blue)(16x^2-81y^2)# Explanation: In general: #color(white)("XXX")(a^2-b^2)=(a+b)(a-b)# Evaluate with #color(white)("XXX")a=4x# and #color(white)("XXX")b=9y# 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 4781 views around the world You can reuse this answer Creative Commons License