Perform the indicated operation. x^2-y^2/3x*3y/x+y

x^2 - y^3 + y

Step-by-step explanation:

Simplify the following:

x^2 - (3 y^2 x y) / (3 x) + y

- (y^2 x*3 y) / (3 x) = 3/3 * (-y^2 x y) / x = (-y^2 x y) / x:

x^2 + - (y^2 x y) / x + y

(-y^2 x y) / x = x/x*-y^2 y = - y^2 y:

x^2 + - y^2 y + y

-y^2 y = - y^ (2 + 1):

x^2 + - y^ (2 + 1) + y

2 + 1 = 3:

Answer: x^2 - y^3 + y