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OpenStudy (anonymous):
1/(1+i) - 1/(1-i) please help!
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OpenStudy (welshfella):
first what is the LCM of 1-i and 1+i?
OpenStudy (anonymous):
2
OpenStudy (welshfella):
yes
OpenStudy (welshfella):
2 = 1 - i^2 now multiply both fractions by this to get the numerator
OpenStudy (welshfella):
= 1 - 1 - (1 + i) ------------ 2
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OpenStudy (anonymous):
is the answer -i?
OpenStudy (welshfella):
1 - i - (1 + i) ------------ 2 = -2i / 2 = -i
OpenStudy (anonymous):
thank you so much!
OpenStudy (welshfella):
yw
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