Question

find the value of (x-y) (x+y) + (y-z)(y+z)+ (z-x) (z+x)

Answer 1

Answer:

the answer is zero...

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Answer 2

Explanation:

${(x}^{2} - {y}^{2} ) + ( {y}^{2} - {z}^{2} ) + ( {z}^{2} - {x}^{2} ) \\ = {x}^{2} - {x}^{2} + {y}^{2} - {y}^{2} + {z}^{2} - {z}^{2} \\ = 0 + 0 + 0 \\ = 0$

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