(x-y)(x+y)+(y-z)(y+z)+(z-x)(z+x) is equal to - Vidyadip

MCQ

$(x-y)(x+y)+(y-z)(y+z)+(z-x)(z+x)$ is equal to

✓
0
B
$x^{2}+y^{2}+z^{2}$
C
$x y+y z+z x$
D
$x+y+z$

✓

Answer

Correct option: A.

0

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

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