" If "(x+yi)]/3=a+bi,then" prove that "x/a+b/y=4(x2-y2)

(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+yi)^(3)=u + vi , prove that (u)/(x) +(v)/(y) = 4(x^(2)-y^(2))

Prove that If 3x+2y=-1 , then prove that 81x^4+16y^4+1-72x^2y^2-18x^2-8y^2=0

If x^2=y^3 , then prove that (x/y)^(3/2)+(y/x)^-(2/3)=x^(1/2)+y^(1/3) .

If x y=a x^2+b/x , prove that x^2 y_2+2(x (dy/dx)-y)=0

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

If x- yi = (a-bi)/(c-di) , prove that x^(2) + y^(2)= (a^(2) + b^(2))/(c^(2) + d^(2))

If x+ yi= (u+ vi)/(u-yi) , prove that x^(2) + y^(2)=1

A triangle has vertices A_i(x_i , y_i)fori=1,2,3 If the orthocentre of triangle is (0,0), then prove that |x_2-x_3 y_2-y_3 y_1(y_2-y_3)+x_1(x_2-x_3) x_3-x_1y_2-y_3y_2(y_3-y_1)+x_1(x_3-x_1) x_1-x_2y_2-y_3y_3(y_1-y_2)+x_1(x_1-x_2)|=0