How do you simplify #(5w^3+3w^2+8w+2)+(7w^2+3w+1)#? Algebra Polynomials and Factoring Addition and Subtraction of Polynomials 1 Answer Alan P. May 4, 2017 #5w^3+10w^2+11w+3# Explanation: Add terms with identical variable components: #5color(red)(w^3)+color(white)("x")3color(blue)(w^2)+color(white)("x")8color(magenta)w+2# #ul(color(white)(0w^3)+color(white)("x")7color(blue)(w^2)+color(white)("x")3color(magenta)w+1)# #5w^3+10w^2+11w+3# Answer link Related questions How do you add two polynomials? How do you subtract two polynomials? How do you add and simplify #3x^2-4x+7# and #2x^3-4x^2-6x+5#? How do you subtract #5b^2-2a^2# from #4a^2-8ab-9b^2#? How do you simplify #(6.9a^2-2.3b^2+2ab)+(3.1a-2.5b^2+b)#? How do you simplify #(-t+15t^2)-(5t^2+2t-9)#? How do you subtract #(-5m^2-m)-(3m^2+4m-5)#? How do you add two polynomials if they don't have like terms? How do you simplify #(3a+4b)-(-6a-3b)#? How do you subtract #(x^2-8x+7)-(6x^2+7x-3)#? See all questions in Addition and Subtraction of Polynomials Impact of this question 1862 views around the world You can reuse this answer Creative Commons License