if `x+iy\=\frac{2-3i}{2+3i}` prove that `x^2+y^2` = 1//

if `x+iy\=\frac{2-3i}{2+3i}` prove that x² + y² = 1//

`x+iy\=\frac{2-3i}{2+3i}`

`\or,\x+iy\=\frac{2-3i}{2+3i}\times\frac{2-3i}{2-3i}`

`\or, x+iy=\frac{\left(2-3i\right)^2}{2^2-(3i)^2}`

`or, x+iy = \frac{2^2-2.2.3i + (3i)^2}{4-9i^2}`