Question

How do you simplify and divide `(5xy^2-6y^3+3x^2y^3)/(xy)`?

Answer 1

`5y-(6x^2)/y+3xy^2`

Explanation:

First, let's simplify by taking out a `y` in the numerator and denominator:

`(cancel(y)(5xy-6y^2+3x^2y^2))/(xcancel(y))`

`(5xy-6y^2+3x^2y^2)/x`

Next, we can divide each term in the numerator by x. Let's separate the megafraction we have into three easier ones:

`(5cancel(x)y)/cancel(x)-(6y^2)/x+(3x^(cancel(2))y^2)/cancel(x)`

`5y-(6x^2)/y+3xy^2`

Hope this helps!!