How do you factor #4m(4 - m) + 3n(4 - m)#? Algebra Polynomials and Factoring Factoring Completely 1 Answer Rhys Jun 2, 2018 #(4-m)(4m+3n) # Explanation: notice: # 4mcolor(red)((4 - m )) + 3ncolor(red)(( 4 - m ) # #color(red)( (4-m) ) # is common in each, this whole term can be factored out #=> color(red)( (4-m) ) [ 4m + 3n ] # #color(blue)( = ( 4-m )( 4m + 3n) # This is the most simplified factorisation 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 1498 views around the world You can reuse this answer Creative Commons License