How do you combine #12 - (y^3 + 4)#? Algebra Polynomials and Factoring Addition and Subtraction of Polynomials 1 Answer Don't Memorise Apr 29, 2015 #12 - (y^3 + 4)# # = 12 - y^3 - 4# # = -y^3 + 8 # # = -(y^3 - 8)# # = -(y^3 - 2^3)# We know that #color(blue)(a^3 - b^3 = (a-b)(a^2+ab+b^2)# # = (y-2)(y^2+2y +2^2)# # =color(green)( (y-2)(y^2+2y +4)# 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 1433 views around the world You can reuse this answer Creative Commons License