What is the value of `=(1)/(x-y){(x^(2)(1-x^(x)))/(1-x)-(y^(2)(1-y^x))/(1-y)}`

If x+y+z=0 then what is the value of (1)/(x^(2)+y^(2)-z^(2)) +(1)/(y^(2)+z^(2)-x^(2)) +(1)/(z^(2)+x^(2)-y^(2)) ?

What is the value of [(( x^(y +1))^((y^(2))/(y^(2) -1)))^(1 -(1)/(y)) ] ?

Find the value of (x+y) ,if (x+(y^(3))/(x^(2)))^(-1)-((x^(2))/(y)+(y^(2))/(x))^(-1)+((x^(3))/(y^(2))+y)^(-1)=(1)/(3)

The value of [(x/(y)-1)/(1-x/y)]

"Find the value of "(x+y)," if "(x+(y^(3))/(x^(2)))^(-1)-((x^(2))/(y)+(y^(2))/(x))^(-1)+((x^(3))/(y^(2))+y)^(-1)=(1)/(3)

If sin^(-1)x=tan^(-1)y what is the value of (1)/(x^(2))-(1)/(y^(2)) ?

If x= (sqrt""5) + 1 and y = (sqrt""5) -1 , then what is the value of (x^(2)//y^(2)) + (y^(2)//x^(2)) + 4[(x//y) + (y//x)]+6 ?

If x^(2)+y^(2)+z^(2)=1 , then what is the value of |{:(1,z,-y),(-z,1,x),(y,-x,1):}|= ?

If sin^(-1) x = tan^(-1)y m what is the value of (1)/(x^(2))-(1)/(y^(2)) ?