The value of
\( (1 + i)^{4} + (1 - i)^{4} \)
is:
Show Hint
- -8
- 8
- -4
- 0
The Correct Option is A
Solution and Explanation
Calculate the square first to simplify the power.
Step 2: Analysis
$(1+i)^{2} = 1 + 2i + i^{2} = 2i$. $(1-i)^{2} = 1 - 2i + i^{2} = -2i$. Expression $= (2i)^{2} + (-2i)^{2}$.
Step 3: Conclusion
$= 4i^{2} + 4i^{2} = -4 - 4 = -8$.
Final Answer: (A)
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