[" 17.If "(x-iy)^(1/3)=a-ib" then show that "],[qquad (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)).

(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 , where x,y,a,b inR show that (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))

(x+iy)^((1)/(3))=a+ibthenprovethat(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 a,b,x,y are real and 3sqrt(x+iy)=a+ib show that , 3sqrt(x-iy)=a-ib (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)^(1//3)=a+ib ,show that x/a+y/b=4(a^2-b^2)