add

(3x^2-9xy+y^2)+(-8x^2-7xy-y^2)+(x^2+xy-2y^2)

I have the answer as -4x^2-15xy-2y^2

Is this correct

Looks good to me

To add the given expression, combine the like terms. Like terms have the same variables raised to the same powers.

The expression to add is:
(3x^2 - 9xy + y^2) + (-8x^2 - 7xy - y^2) + (x^2 + xy - 2y^2)

First, group the like terms together:

(3x^2 - 8x^2 + x^2) + (-9xy - 7xy + xy) + (y^2 - y^2 - 2y^2)

Combine the coefficients of the like terms:

(-4x^2) + (-15xy) + (-2y^2)

So, the simplified expression is -4x^2 - 15xy - 2y^2.