Question

The multiplicative inverse of x+iy is____​

Answer 1

Answer:

$\frac{1}{x + iy} \\ = \frac{x - iy}{(x + iy)(x - iy)} \\ = \frac{x - iy}{ {x}^{2} - {(iy)}^{2} } \\ = \frac{x - iy}{ {x}^{2} + {y}^{2} } \\ = \frac{x}{ {x}^{2} + {y}^{2} } - i\frac{y}{ {x}^{2} + {y}^{2} }$

Step-by-step explanation:

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