यदि `x^(3)+y^(3)+z^(3)=3xyz` और `x+y+z=0`, तो `((x+y)^(2))/(xy)+((y+z)^(2))/(yz)+((z+x)^(2))/(zx)` का मान ज्ञात कीजिए ।

If x^(3)+y^(3)+z^(3)=3xyz and x+y+z=0, find the value of ((x+y)^(2))/(xy)=((y+z)^(2))/(yz) +((z+x)^(2))/(zx)

If x^(3)+y^(3)+z^(3)=3xyz and x+y+z=0 , then the value of ((x+y)^(2))/(xy)+((y+z)^(2))/(yz)+((z+x)^(2))/(zx) is

If x + 2y + 3z = 0 and x^(3) + 4y^(3) + 9z^(3)= 18 xyz , evaluate: ((x+2y)^(2))/(xy) + ((2y + 3z)^(2))/(yz) + ((3z+ x)^(2))/(zx)

If x^(3) + y^(3) + z^(3) = 3xyz and x + y + z = 0 , find the value of : ((x+y)^(2))/(xy) + ((y+z)^(2))/(yz) + ((z+x)^(2))/(zx)

If x+2y+3z=0 and x^3+4y^3+9z^3=18xyz then evaluate (x+2y)^2/(xy)+(2y+3z)^2/(yz)+(3z+x)^2/(zx)

(y^(2)+yz+z^(2))/((x-y)(x-z))+(z^(2)+zx+x^(2))/((y-z)(y-x))+(x^(2)+xy+y^(2))/((z-x)(z-y))

If x/y = y/z , then simplify (xyz ( x + y + z)^(3))/((xy+yz+zx)^(3)) .

(y^(2)+yz+z^(2))/((x-y)(x-z)) + (z^(2)+zx+x^(2))/((y-z)(y-x)) + (x^(2)+xy+y^(2))/((z-x)(z-y))

If x + y + z = 10, x ^(3) + y ^(3) + z ^(3) = 75 and xyz = 15, then find the value of x ^(2) + y ^(2) + z ^(2) - xy - yz - zx