Becasue it would be silly to call it y squared!
Seriously though, the term comes from the fact that the area of a square with sides of length x units is x*x units of area.
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I think you're asking what multiplying a number by itself is called. If so, it's called "squaring" or "squared". For example: 2 squared, (or 2 x 2) which is 22 = 4 5 squared, (or 5 x 5) which is 52 = 25 12 squared, (or 12 x 12) which is 122 = 144
x[x+1] squared Simplified is, to my knowledge, x squared plus ( x + 1) squared
x^2+x^2=2x^2
I believe this is one: [(X,... X+1,... X+2,... X+3,...) squared] +1 Where X is any natural number. (X) squared + 1 (X + 1) squared + 1 (X + 2) squared + 1 (X + 3) squared + 1...
Your expression is this... x2 + y2/x