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|[z+y,x,x] , [y,z+x,y] , [z,z,x+y]|=...

`|[z+y,x,x] , [y,z+x,y] , [z,z,x+y]|=`

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|[y+z, x, x] , [y, z+x, y] , [z, z, x+y]|= (i) x^2y^2z^2 (ii) 4x^2y^2z^2 (iii) xyz (iv) 4xyz

Show that abs([y+z ,x,x],[y,z+x,y],[z,z,x+y])=4xyz

Prove that |[x+y, y+z, z+x] , [z+x, x+y, y+z] , [y+z, z+x, x+y]|=2|[x,y,z] , [z,x,y] , [y,z,x]|

Prove that: |[y+z, z, y],[z, z+x, x], [y, x, x+y]|= 4 xyz

Using properties of determinant show that : |(y+z,x,x),(y,z+x,y),(z,z,x+y)|=4xyz

Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz

show that |[y+z ,x, y],[ z+x, z, x],[x+y, y ,z]|=(x+y+z)(x-z)^2

|[y+z, x, y],[z+x, z, x],[x+y, y, z]|=...

Prove that |[y+z,z,y],[z,z+x,x],[y,x,x+y]]=4xyz