How do you factor completely #9a^2 -24ab + 16b^2#? Algebra Polynomials and Factoring Factoring Completely 1 Answer Ratnaker Mehta Aug 30, 2016 #(3a-4b)^2#. Explanation: Recall the Expansion Formula # : A^2-2AB+B^2=(A-B)^2#. Given Expression#=9a^2-24ab+16b^2# #=(3a)^2-2(3a)(4b)+(4b)^2# #=(3a-4b)^2#. 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 6892 views around the world You can reuse this answer Creative Commons License