Question

How do you simplify `(10x^2y)/(10x^2y)`?

Answer 1

`(10x^2y)/(10x^2y) = 1` with exclusions `x != 0` and `y != 0`

Explanation:

`a/a = 1` for all numbers `a` except `0`.

`0/0` is undefined.

So if we let `a=10x^2y`, then `a/a = (10x^2y)/(10x^2y) = 1`

except when `10x^2y = 0`, which occurs when `x=0` or `y=0`