# Apparentlyx[SUP]2[/SUP]/y + yis the same

1. Aug 25, 2011

### bobsmith76

apparently

x2/y + y

is the same as

x2+y2/y

I've done the calculations and it's true. But I can't recall the rule that allows you to do that. It's something about common denominators but I can't remember which.

2. Aug 25, 2011

### bobsmith76

Re: algebra

never mind, I got it. if you let x = 4 and y = 3

then

4/3 + 3 = 4/3 + 9/3

and 9/3 = 32/3

3. Aug 25, 2011

### Robert1986

Re: algebra

Do you mean x2{/SUP]/y + y = x2/y + y2/y? If so, you multiply the expression by 1 = y/y (y not zero).

4. Aug 25, 2011

### HallsofIvy

Re: algebra

No, it is not. But it is the same as (x2+ y2)/y. I assume that is what you meant.

"which"? There is only one denominator!

$$\frac{x^2}{y}+ y= \frac{x^2}{y}+ \frac{y^2}{y}= \frac{x^2+ y^2}{y}$$