Question

a-ib / a+ib is equal to


step by step process needed ​

Answer 1

Answer:

(a^2-b^2+2aib)/(a^2-b^2)

Answer 2

Answer:

$\frac{ {a}^{2} - {b}^{2} - 2 \sqrt{ - 1}ab }{ {a}^{2} + {b}^{2} }$

Step-by-step explanation:

$\frac{(a - ib)}{(a + ib)} = \frac{(a - ib)(a - ib)}{(a + ib)(a - ib)}$

$\frac{ {(a - ib)}^{2} }{ {a}^{2} - {ib}^{2} } = \frac{ {a}^{2} + {i ^{2} } {b}^{2} + - 2a(ib) }{ {a}^{2} + {b}^{2} }$

since, i²= -1

$\frac{ {a}^{2} - {b}^{2} - 2 \sqrt{ - 1}ab }{ {a}^{2} + {b}^{2} }$

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