The value of `(1)/(x-y)|[1,0,0],[3,x^(3),1],[5,y^(3),1]|` is -

If x+y+z=0 and xyz=1, then find the value of (1)/(1-x^(3))+(1)/(1-y^(3))+(1)/(1-z^(3))

The value of (x , y) if 5^(x) + 3^(y) = 8,5^(x-1) + 3^(y-1) = 2 is :

Find the values of x and y, if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2) :}]=[{:(5,6),(1,8):}].

The value of ((x-y)^(3)+(y-z)^(3)+(z-x)^(3))/(9(x-y)(y-z)(z-x)) is equal to (a)0(b)(1)/(9)(c)(1)/(3)(d)1

The value of ,2x_(1)y_(1),x_(1)y_(2)+x_(2)y_(1),x_(1)y_(3)+x_(3)y_(1)x_(1)y_(2)+x_(2)y_(1),2x_(2)y_(2),x_(2)y_(3)+x_(3)y_(2)x_(1)y_(3)+x_(3)y_(1),x_(2)y_(3)+x_(3)y_(2),2x_(3)y_(3)]| is

Find the value of (( x -y )^3 + ( y - z )^3 + ( z - x )^3 )/ (9 ( x - y )( y - z ) ( z - x )) 1 . 0 2 . 1/9 3 . 1/3 4. 1