if x=31,y=32 and z=33 then the value of
`|{:((x^(2)+1)^(2),,(xy+1)^(2),,(xz+1)^(2)),((xy+1)^(2),,(y^(2)+1)^(2),,(yz+1)^(2)),((xz+1)^(2),,(yz+1)^(2),,(z^(2)+1)^(2)):}|" is " "____"`

Answer

8

Explanation

` |{:((x^(2)+1)^(2),,(xy+1)^(2),,(xz+1)^(2)),((xy+1)^(2),,(y^(2)+1)^(2),,(yz+1)^(2)),((xz+1)^(2),,(yz+1)^(2),,(z^(2)+1)^(2)):}|`
` = |{:(1,,x,,x^(2)),(1,,y,,y^(2)),(1,,z,,z^(2)):}||{:(1,,1,,1),(2x,,2y,,2z),(x^(2),,y^(2),,z^(2)):}|`
`=2 (x-y)^(2)(y-z)^(2)(z-x)^(2)`