`(x+iy)^(1/3) =(a+ib)` then prove that `(x/a+y/b)=4(a^2-b^2)`

if (x + iy)^(1 / 3) = a + ib , show that (x / a) + (y / b) = 4(a^2 - b^2) .

if (x+iy)^(1//3)=a+ib ,show that x/a+y/b=4(a^2-b^2)

If (x - iy) ^(1//3) = a - ib, then show that (x)/(a) + (y)/(b) = 4 ( a ^(2) - b ^(2)).

If x is real , then root(3)(x+iy)=a+ib(ane0,bne0) ,then pove that (x)/(a)+(y)/(b)=4(a^(2)-b^(2))

If x+iy= (a+ib)^3 , show that x/a+y/b=4( 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) = sqrt((a+ib)/(c+id)) then prove that (x^2 + y^2)^2 = (a^2 + b^2)/(c^2 + d^2)

If x+iy=(a+ib)/(a-ib) , then prove that x^2+y^2=1

If (x-iy ) ^(1/3) = a + ib, then (ax -by)/(a-b) =