The term $$(1-i)^2/(1+i)^2$$ where $$i=sqrt(-1)$$ is most nearly: 

1 Answer

James Dowd

Updated on December 25th, 2020

To solve this problem, we can first begin to simplify both the numerator and denominator:

(1-i)2(1+i)2=(1-i)(1-i)(1+i)(1+i)=1-2i+i21+2i+i2 

Since we know i = -1, we also know i2=-1.

Plugging this back into our expression:

1-2i+i21+2i+i2=1-2i+(-1)1+2i+(-1)=-2i2i=-1

Therefore, our answer is -1.

Copyright © 2024 Savvy Engineer