" Write the value of "Delta=|[x+y,y+z,z+x],[z,x,y],[-3,-3,-3]|

Write the value of |(x+y,y+z,z+x),(z,x,y),(-3,-3,-3)|

Write the value of det[[x+y,y+z,z+xz,x,y-3,-3,-3]]

Find the value of x, y, z if [(x, y-z, z+3)]+[(y, 4, 3)]

If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[z, z^2, 1+z^3]|=0 then show that 1+xyz=0

If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[z, z^2, 1+z^3]|=0 then show that 1+xyz=0

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

evaluate: |(3x,-x+y,-x+z),(x-y,3y,z-y),(x-z,y-z,3z)|

evaluate: |(3x,-x+y,-x+z),(x-y,3y,z-y),(x-z,y-z,3z)|

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

Let's write the value of x^3 - y^3 -z^3 - 3xyz if x = y + z