How do you find the product #(7z^2+5y^2)(7z^2-5y^2)#? Algebra Polynomials and Factoring Multiplication of Polynomials by Binomials 1 Answer Azimet Jan 15, 2017 #49z^4 - 25y^4# Explanation: #(a+b)(a-b) = a^2 - b^2# In this case, #a = 7z^2# and #b=5y^2# #a^2 = 7^2 * (z^2)^2 = 49z^4# #b^2 = 5^2 * (y^2)^2 = 25y^4# #a^2 - b^2 = 49z^4 - 25y^4# 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 1790 views around the world You can reuse this answer Creative Commons License