How do you simplify (4x^3 - 3x - 7) - (3x^3 + 5x + 3)(4x3−3x−7)−(3x3+5x+3)? Algebra Polynomials and Factoring Addition and Subtraction of Polynomials 1 Answer Alan P. Jun 11, 2015 Regroup terms with common powers of xx and do the arithmetic normally. Explanation: (color(blue)(4x^3-3x-7)) - (color(red)(3x^3+5x+3))(4x3−3x−7)−(3x3+5x+3) = (color(blue)(+4x^3) - color(red)(3x^3))+(color(blue)(-3x) - color(red)(5x))+(color(blue)(-7) - color(red)(3))=(+4x3−3x3)+(−3x−5x)+(−7−3) = x^3 -8x -10=x3−8x−10 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+73x2−4x+7 and 2x^3-4x^2-6x+52x3−4x2−6x+5? How do you subtract 5b^2-2a^25b2−2a2 from 4a^2-8ab-9b^24a2−8ab−9b2? How do you simplify (6.9a^2-2.3b^2+2ab)+(3.1a-2.5b^2+b)(6.9a2−2.3b2+2ab)+(3.1a−2.5b2+b)? How do you simplify (-t+15t^2)-(5t^2+2t-9)(−t+15t2)−(5t2+2t−9)? How do you subtract (-5m^2-m)-(3m^2+4m-5)(−5m2−m)−(3m2+4m−5)? How do you add two polynomials if they don't have like terms? How do you simplify (3a+4b)-(-6a-3b)(3a+4b)−(−6a−3b)? How do you subtract (x^2-8x+7)-(6x^2+7x-3)(x2−8x+7)−(6x2+7x−3)? See all questions in Addition and Subtraction of Polynomials Impact of this question 2019 views around the world You can reuse this answer Creative Commons License