Using the properties of determinants ,show that..

1 x+y x2+y2

1 y+z y2+z2

1 z+x z2+x2

=(x-y)(y-z)(z-x)

(((x2,y2,z2 are x square,y square and z square respectively)))

(meritnation exprt please ans .....)

To show

Taking LHS

Applying R1 → R1 – R3; R2 → R2 – R3, we get

 

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opaerate R2-R1 and R3-R2 and take z-x frm R2 and z-y frm R3. expand the rest

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