Question

Express 1/(p+iq)² in the form of a+ib...pls fast

Answer 1

Answer:

a=p²-q²/(p²-q²)²+4p²q² and

b= -2pq/(p²-q²)²+4p²q²

Step-by-step explanation:

1/(p+iq)²=1/(p²+i²q²+2pqi) i²=-1

=(p²-q²-2pqi)/(p²-q²+2pqi)(p²-q²-2pqi)

=(p²-q²-2pqi)/(p²-q²)²-(2pqi)²

=(p²-q²-2pqi)/(p²-q²)²-4p²q²i²

=p²-q²-2pqi/(p²-q²)²+4p²q² i²=-1

=by comparing with a+in we got

a=p²-q²/(p²-q²)²+4p²q² and

b= -2pq/(p²-q²)²+4p²q²

Answer 2

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