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

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

if (a+ib^((1)/(3))=x+iy then (a)/(x)+(b)/(y) is equal to

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

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

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

If sqrt(a+ib)=x+iy then prove that sqrt(a-ib)=x-iy

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

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

(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,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))