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!

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

 

[CellCoree]

As a scientist, it is important to always accurately represent and explain mathematical concepts. In this case, the rule that allows us to manipulate the expression x2/y + y to become x2+y2/y is the distributive property. This property states that when multiplying a number by a sum, we can distribute the multiplication to each term within the parentheses. In this case, the number being multiplied is x2 and the sum is y + y, which can be rewritten as 2y. Therefore, we can distribute the multiplication to get x2+y2/y. This concept is important in many areas of science, such as in physics when dealing with equations involving multiple variables. It is always important to remember and properly apply mathematical rules in order to accurately interpret and analyze data in scientific research.