Factorize `x^2+x y+x z+y z`

Factorize : (x-y)^3+(y-z)^3+(z-x)^3

Factorize : (x-y)^3+(y-z)^3+(z-x)^3

Factorize :(x-y)^(3)+(y-z)^(3)+(z-x)^(3)

If Delta = abs{:(x+y+z^(2) , x^(2) + y+ z, x+y^(2) + z),(z^2, x^2, y^2),(x+y,y+z,x+z):} , (where ( x ne y ne z) x, y, z in R- {0} ) then Delta= ........

If |y z-x^2z x-y^2x y-z^2x z-y^2x y-z^2y z-x^2x y-z^2y z-x^2z x-y^2|=|r^2u^2u^2u^2r^2u^2u^2u^2r^2| , then r^2=x+y+z b. r^2=x^2+y^2+z^2 cdotu^2=y z+z x+x y d. u^2=x y z

Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonzero real number, is equal to a. x y z b. 2x y z c. 3x y z d. 4x y z

Factorize of the expression: a^(3)x+a^(2)(x-y)-a(y+z)-z

Factorize of the expression: a^3x+a^2(x-y)-a(y+z)-z\