" 5."(sum_(x.y;z)x)^(2)-(sum_(x.y.z)x^(2))=

(sum_(x, y,z) (x +1)^(2)) - (sum_(x, y,z) (x))^(2) - 3 = _______

"The value of "(x^(2))/((x-y)(x-z))+(y^(2))/((y-z)(y-x))+(z^(2))/((z-x)(z-y))" is : "

D=|[(1)/(z),(1)/(z),-(x+y)/(z^(2))-(y+z)/(x^(2)),(1)/(x),(1)/(x)-(y(y+z)/(x^(2)z)),(x+2y+z)/(x)z,-(y(x+y)/(xz^(2))] then,the incorrect statement is -

Resolve into factors : (underset(x,y,z)sum x)^(3) - underset(x,y,z)sum x^(3)

Prove that : |{:((y+z)^(2),x^(2),x^(2)),(y^(2),(x+z)^(2),y^(2)),(z^(2),z^(2),(x+y)^(2)):}|=2xyz (x+y+z)^(3)

Prove that : |{:((y+z)^(2),x^(2),x^(2)),(y^(2),(x+z)^(2),y^(2)),(z^(2),z^(2),(x+y)^(2)):}|=2xyz (x+y+z)^(3)