SOLUTION: (x^2y-xy+x^2) + (2x^2+3xy-x^2 y) + (3x^2 -y^2 +x^2 y) please help me perform the indicated operations on the polynomials expressions

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (x^2y-xy+x^2) + (2x^2+3xy-x^2 y) + (3x^2 -y^2 +x^2 y) please help me perform the indicated operations on the polynomials expressions       Log On


   



Question 1040657: (x^2y-xy+x^2) + (2x^2+3xy-x^2 y) + (3x^2 -y^2 +x^2 y)

please help me perform the indicated operations on the polynomials expressions

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2y-xy+x^2) + (2x^2+3xy-x^2 y) + (3x^2 -y^2 +x^2 y)
Add or subtract like terms.
There are 3 x^2y terms, two positive and one negative, so there is 1 positive x^2 y
There is a minus xy and +3 xy, so there are 2 positive xy terms
There is an x^2, a 2x^2 and a 3x^2 for 6 x^2
I count the terms that I have used. So far, I have used 8, but there is a ninth.
It is -y^2
I collect the terms
6x^2+2xy+x^2y-y^2