Question 1138549

 {{{(x + iy)(u - iv)(x - iy)(u + iv)}}}

{{{ (u^2 - (iv)^2)(x^2 - (iy)^2)}}}

 {{{(u^2 - (i)^2v^2)(x^2 - (i)^2y^2)}}}

 {{{(u^2 - (-1)v^2)(x^2 - (-1)y^2)}}}

{{{ (u^2 - (-1)v^2)(x^2 - (-1)y^2)}}}

{{{(u^2 +v^2)(x^2 +y^2)}}}

{{{x^2*u^2  +y^2*u^2+x^2v^2 +y^2v^2}}}

{{{x^2(u^2 +v^2) +y^2(u^2 +v^2)}}}