A) \[0\]
B) \[1\]
C) \[-1\]
D) \[2\]
Correct Answer: A
Solution :
\[\left( x-y \right)\left( x+y \right)+\left( y-z \right)\left( y+z \right)+\left( z-x \right)\left( z+x \right)\] \[={{x}^{2}}-{{y}^{2}}+{{y}^{2}}-{{z}^{2}}+{{z}^{2}}-{{x}^{2}}\] \[=0\]
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