How do you factor the expression #7x(2x + 3) + (2x + 3)#? Algebra Polynomials and Factoring Factoring Completely 1 Answer Robert C. Apr 3, 2018 #(7x + 1)(2x + 3)# Explanation: since we have #2x + 3# in both sets of brackets, we have a common theme. to expand the brackets, a "1" is implied at the beginning of the second set of brackets. #7x(2x+3) + 1(2x+3)# you can now make #(7x + 1)(2x + 3)# from that. 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 1601 views around the world You can reuse this answer Creative Commons License