SOLUTION: Simplify: 2(8x^2y-7xy+3xy^2)-(3x^2y-2xy-9xy^2).

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify: 2(8x^2y-7xy+3xy^2)-(3x^2y-2xy-9xy^2).       Log On


   

Question 206909: Simplify:
2(8x^2y-7xy+3xy^2)-(3x^2y-2xy-9xy^2).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%288x%5E2y-7xy%2B3xy%5E2%29-%283x%5E2y-2xy-9xy%5E2%29 Start with the given expression.


2%288x%5E2y%29-2%287xy%29%2B2%283xy%5E2%29-3x%5E2y%2B2xy%2B9xy%5E2 Distribute


16x%5E2y-14xy%2B6xy%5E2-3x%5E2y%2B2xy%2B9xy%5E2 Multiply


13x%5E2y-12xy%2B15xy%5E2 Combine like terms.


So 2%288x%5E2y-7xy%2B3xy%5E2%29-%283x%5E2y-2xy-9xy%5E2%29 simplifies to 13x%5E2y-12xy%2B15xy%5E2


In other words, 2%288x%5E2y-7xy%2B3xy%5E2%29-%283x%5E2y-2xy-9xy%5E2%29=13x%5E2y-12xy%2B15xy%5E2