Using properties of determinants. Prove ...

Using properties of determinants. Prove that `|xx^2 1+p x^3y y^2 1+p y^3z z^2 1+p z^3|=(1+p x y z)(x-y)(y-z)(z-x)` , where p is any scalar.

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x+y-z=1 3x+y-2z=3 x-y-z=-1

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