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Prove that : |{:(x-y-z,2x,2x),(2y,y-z-x,...

Prove that : `|{:(x-y-z,2x,2x),(2y,y-z-x,2y),(2z,2z,z-x-y):}|`

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Value of |{:(x-y-z,2x,2x),(2y,y-z-x,2y),(2z,2z,z-x-y):}|

(x+y+z) is fator of : {:|(x-y-z,2x,2x),(2y,y-z-x,2y),(2z,2z,z-x-y)|

Show that: |[x-y-z,2x,2x],[2y,y-z-x,2y],[2z,2z,z-x-y]|=(x+y+z)^3

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Prove that : |{:(x+y+2z,x,y),(z,y+z+2x,y),(z,x,x+a+2y):}|=2(x+y+)^(3)

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if x+y+z = 0 then prove that |{:(x,y,z),(x^2,y^2,z^2),(y+z,z+x,x+y):}|=0

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Prove that : |{:(y+z,x,y),(z+x,z,x),(x+y,y,z):}|=(x+y+z)(x-z)^(2)

Prove that : |{:(y+z,x,y),(z+x,z,x),(x+y,y,z):}|=(x+y+z)(x-z)^(2)