(x+y)(x-y) +(y+z)(y-z) +(z+x)(z-x) =0
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(x+y)(x-y) +(y+z)(y-z) +(z+x)(z-x) =0
x(x-y)+y(x-y) + y(y-z)+z (y-z) + z(z-x) + x(z-x)
(x² - xy + yx - xy - y²) + (y² - yz + zy - z²) + ( z² - zx + xz - x² )
x² - xy + yx - xy - y² + y² - yz + zy - z² + z² - zx + xz - x²
LHS = RHS
0 = 0
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