If `(x+i y)^(1//3)=a+i b ,x ,y ,a b in Rdot` Show that `x/a+y/b=4(a^2-b^2)` (ii) `x/a-y/b=2(a^2+b^2)`

If (x+iy)^(1/3)=a+ib,x,y,ab in R. Show that (x)/(a)+(y)/(b)=4(a^(2)-b^(2))( ii) (x)/(a)-(y)/(b)=2(a^(2)+b^(2))

If (x+iy)^(1/3)=a+ib , where a,b,x, y in R, show that x/a-y/b=-2(a^2+b^2) .

If (x+iy)^(1//3)=a+ib , where x,y,a,b inR show that (x)/(a)-(y)/(b)=-2(a^(2)+b^(2)) .

If (x+iy)^(1//3) = a+ib , where a, b, x, y in R show that x/a - y/b = -2(a^(2) + b^(2)) .

x/a-y/b=0 , a x+b y=a^2+b^2

If z=x+i y, z^(1/3)=a-i b " and " x/a-y/b=lambda(a^2-b^2), then lambda is equal to

If a/b = x/y , then show that (a+b) (a^(2)+b^(2))x^(3) = (x+y)(x^(2)+y^(2))a^(3)

If z=x+i y, z^(1 / 3)=a-i b and (x)/(a)-(y)/(b)=k(a^(2)-b^(2)) then the value of k=

2(x/a)+(y/b)=2; (x/a)-(y/b)=4