please tell me answer fast
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Answer:
-3-6i or 6i-3
Step-by-step explanation:
x^6 +x^4 +x^2 +1
x=1+i
=(1+i) ^6 +(1+i) ^4 +(1+i) ^2 +1
=(1+6i−15−20i+15+6i−1)+(1+i) ^4 +(1+i) ^2
+1
[Using binomial expansion]
=−8i+(1+i) ^4 +(1+i) ^2 +1
=−8i+(1+4i−6−4i+1)+(1+i) ^2 +1
=−8i−4+(1+i) ^2 +1
=−8i−4+(1 ^2 +2×1i+i ^2 )+1
=−8i−4+2i+1
=−3−6i or 6i-3
Hope that helps. Please choose my answer as the brainliest!
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