How do you factor the difference of two perfect squares: #(x+7)^2-x^2#? Algebra Polynomials and Factoring Factor Polynomials Using Special Products 1 Answer Noah G Nov 22, 2016 We let #x + 7# be #a# and #x# be #b#. #=>a^2 - b^2# #=>(a + b)(a - b)# #=>(x + 7 + x)(x + 7 - x)# #=>(2x + 7)7# #=> 7(2x + 7)# Hopefully this helps! Answer link Related questions How do you factor special products of polynomials? How do you identify special products when factoring? How do you factor #x^3 -8#? What are the factors of #x^3y^6 – 64#? How do you know if #x^2 + 10x + 25# is a perfect square? How do you write #16x^2 – 48x + 36# as a perfect square trinomial? What is the difference of two squares method of factoring? How do you factor #16x^2-36# using the difference of squares? How do you factor #2x^4y^2-32#? How do you factor #x^2 - 27#? See all questions in Factor Polynomials Using Special Products Impact of this question 1105 views around the world You can reuse this answer Creative Commons License