Math, asked by Aditi1509, 11 months ago

(1+i/1-i)^2 state the value of a and b in form of a​

Answers

Answered by Anonymous
5

( \frac{1 + i}{1 - i} ) {}^{2}  \\  =  (\frac{(1 + i)(1 + i)}{(1 - i)(1 + i)} ) {}^{2}  \\  =  (\frac{(1 + i) {}^{2} }{1 {}^{2} - i {}^{2}  } ){}^{2} \\  =  (\frac{1  {}^{2} + i {}^{2} + 2.1.i }{1 - ( -1 )}){}^{2}  \\  =  (\frac{1  - 1 + 2i}{2} ){}^{2} \\  =  (\frac{2i}{2}){}^{2}  \\  = i{}^{2} \\  = -1=-1+0(i)

Answered by abhijinwal7
0

Answer:

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