How do you factor #49a^2 - 81b^2#? Algebra Polynomials and Factoring Factoring Completely 1 Answer MeneerNask Jul 9, 2015 You may notice that #49=7^2and81=9^2# are both squares. Explanation: So #49a^2=(7a)^2and81b^2=(9b)^2# are also squares, and then we can use the special product of the form: #x^2-y^2=(x+y)(x-y)# #=(7a+9b)(7a-9b)# Answer link Related questions What is Factoring Completely? How do you know when you have completely factored a polynomial? Which methods of factoring do you use to factor completely? How do you factor completely #2x^2-8#? Which method do you use to factor #3x(x-1)+4(x-1) #? What are the factors of #12x^3+12x^2+3x#? How do you find the two numbers by using the factoring method, if one number is seven more than... How do you factor #12c^2-75# completely? How do you factor #x^6-26x^3-27#? How do you factor #100x^2+180x+81#? See all questions in Factoring Completely Impact of this question 4084 views around the world You can reuse this answer Creative Commons License