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NCERT Class XI Mathematics - Complex Numbers and Quadratic Equations - Solutions

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Question : 8 of 52
Marks: +1, -0
(1−i)4(1-i)^4
Solution:  
(1−i)4(1-i)^4 = [(1−i)2]2[(1-i)^2]^2 = [1−2i+i2]2[1-2i+i^2]^2 = [1−2i+(−1)]2[1-2i+(-1)]^2
= (−2i)2(-2i)^2 = 4i24i^2 = 4 (- 1) = - 4 = - 4 + 0i
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