Question

How do you simplify `(x^2-y^2)/(5x^3)*(y^2)/(15x^2y^5)`?

Answer 1

`(x^2 - y^2)/(75x^5y^3)`

Explanation:

As per the question,

`(x^2 - y^2)/(5x^3) * y^2/(15x^2y^5)`

`(y^2(x^2 - y^2))/((5x^3)(15x^2y^5))`

`(y^2(x^2 - y^2))/(75x^5y^5)`

`((x^2 - y^2))/(75x^5y^3)` ... [`y^2` gets cancelled by `y^2` from `y^5` so `y^3` is remaining]