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

[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.

 

[bobsmith76]

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

 

[Robert1986]

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

Do you mean x^{2{/SUP]/y + y = x2/y + y2/y? If so, you multiply the expression by 1 = y/y (y not zero).}

 

[HallsofIvy]

apparently

x²/y + y

is the same as

x²+y²/y

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

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.

"which"? There is only one denominator!

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