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[tex](x-y) ^{2} = x^{2}+ y^{2} [/tex]

Răspuns :

(x-y)²=x²+y²
x²-2xy+y²=x²+y²
x²-x²-2xy+y²-y²=0
-2xy=0
xy∈Ф din cate stiu eu zero impartit la orice numar nu are sens
[tex](x-y)^2=x^2+y^2 \Longleftrightarrow x^2-2xy+y^2=x^2+y^2 \Longleftrightarrow xy=0\Rightarrow x=0,y\in \mathbb{R}[/tex] sau invers.