`|{:(x,4, y+z),(y,4,z+x),(z,4,x+y):}|` is eqaual to

(3x+4y+5z)(4x+3y+4z)

Prove: |(y+z, z, y),( z, z+x,x),( y, x,x+y)|=4\ x y z

A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) What is the value of A(2, 3, 4)+B(2, 3, 4) ?

What is ((x-y)^(3) + (y-z)^(3) + (z-x)^(3))/(4(x-y)(y-z)(z-x)) equal to ?

(4x-2y+z)(5x-5y+z)

If [{:(x -y ,4),(z + 6 , x + y ):}] = [{:(8, w),(0,0):}] , then the value of (x + y + w + z) is