SOLUTION: Polynomials Instructions: Add the polynomials and subtract the second polynomial from the first. Please help me solve this polynomial: {{{2xy^2+2x^3-x^2y}}} {{{-2x^2y+2xy^2-y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Polynomials Instructions: Add the polynomials and subtract the second polynomial from the first. Please help me solve this polynomial: {{{2xy^2+2x^3-x^2y}}} {{{-2x^2y+2xy^2-y      Log On


   

Question 52700This question is from textbook
: Polynomials
Instructions:
Add the polynomials and subtract the second polynomial from the first.
Please help me solve this polynomial: 2xy%5E2%2B2x%5E3-x%5E2y -2x%5E2y%2B2xy%5E2-y3 This question is from textbook

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The trick to this is identifying your like terms. They have to have the exact same variables raised to the exact same powers.
%282xy%5E2%2B2x%5E3-x%5E2y%29+%28-2x%5E2y%2B2xy%5E2-y%5E3%29
%282%2B2%29xy%5E2%2B2x%5E3%2B%28-1-2%29x%5E2y-y%5E3
4xy%5E2%2B2x%5E3-3x%5E2y-y%5E3
-----------------------------------------------
%282xy%5E2%2B2x%5E3-x%5E2y%29-%28-2x%5E2y%2B2xy%5E2-y%5E3%29
%282xy%5E2%2B2x%5E3-x%5E2y%29+%282x%5E2y-2xy%5E2%2By%5E3%29
%282-2%29xy%5E2%2B2x%5E3%2B%28-1%2B2%29x%5E2y%2By%5E3
0xy%5E2%2B2x%5E3%2Bx%5E2y%2By%5E3
2x%5E3%2Bx%5E2y%2By%5E3