State true or false- a-ib 2- a-ib - a-ib 2- a-ib -2b 3a2-b2 -a2-b2i-

( a+ib )^2/ ( a ib ) ( a ib )^2/ ( a+ib )= ( a+ib )^3 ( a ib )^^3/ ( a ib ) ( a+ib ) = 2 ( 3a^2.ib+i^3b^3 )/a^2+b^2= 2 ( 3a^2b b^3 )/a^2+b^ ...

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Algebra of Complex Numbers

State true or...

Question

State true or false:

$\frac{{(a + i b)}^{2}}{(a - i b)} - \frac{{(a - i b)}^{2}}{(a + i b)} = \frac{2 b (3 a^{2} - b^{2})}{a^{2} + b^{2}} i$ .

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