SOLUTION: (15x^3y^2-8x^2y+7xy^2)-(3x^3y^2+3x^2y-4xy^2

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Question 182081: (15x^3y^2-8x^2y+7xy^2)-(3x^3y^2+3x^2y-4xy^2
Answer by greta_elisif(10) About Me  (Show Source):
You can put this solution on YOUR website!
%2815x%5E3y%5E2-8x%5E2y%2B7xy%5E2%29-%283x%5E3y%5E2%2B3x%5E2y-4xy%5E2%29
1. Remove the first set of parentheses (unnecessary) and distribute the minus sign:
15x%5E3y%5E2+-+8x%5E2y+%2B+7xy%5E2+-+3x%5E3y%5E2+-+3x%5E2y+%2B+4xy%5E2%29
2. Rearrange the terms so like terms are next to one another:
15x%5E3y%5E2+-+3x%5E3y%5E2+-+8x%5E2y+-+3x%5E2y+%2B+7xy%5E2+%2B+4xy%5E2%29
3. Add and subtract like terms (parentheses below are for emphasis):
%2815x%5E3y%5E2+-+3x%5E3y%5E2%29+-+%288x%5E2y+-+3x%5E2y%29+%2B+%287xy%5E2+%2B+4xy%5E2%29%29
12x%5E3y%5E2+-+%288x%5E2y+-+3x%5E2y%29+%2B+%287xy%5E2+%2B+4xy%5E2%29
12x%5E3y%5E2+-+5x%5E2y+%2B+%287xy%5E2+%2B+4xy%5E2%29
12x%5E3y%5E2+-+5x%5E2y+%2B+11xy%5E2
The last equation is your answer.