Of Papa go (y + zy xyzx (F) Show that the determinant (x + z) 2yz = 2xyz (x + y + 2). 5 xz y (x + y) ² || 2

The square root of (xy + xz - yz)^(2) - 4xyz (x -y) is _____

Show that Delta=|((y+z)^2,xy,zx),(xy,(x+z)^2,yz),(xz,yz,(x+y)^2)|=2x y z(x+y+z)^3 .

Show that triangle = |[(y+z)^2,xy,zx],[xy,(x+z)^2,yz],[xz,yz,(x+y)^2]| = 2xyz(x+y+z)^3

By using properties of determinants , show that : {:|( x,x^(2) , yz) ,( y,y^(2) , zx ) ,( z , z^(2) , xy ) |:} =( x-y)(y-z) (z-x) (xy+yz+ zx)

What is the LCM of (x^2 - y^2 – z^2 – 2yz),(x^2 - y^2 + z^2 + 2xz) and (x^2 + y^2 - z^2 - 2xy) ?