14. Prove that:
(a) (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__(given)
Solⁿ:– (x²-xy+yx-y²)+(y²-yz+zy-z²)+(z²-zx+xz-x²) = 0
x²-x² -y²+y²-z²+z²-xy+yx-yz+zy-zx+xz = 0
0 = 0
Hence Proved !
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