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  • Express each of the complex number in the form a+ib. (8) (1-i)^4

Express each of the complex number in the form  a+ib .

Q : 8    (1-i)^4

Answers (1)

best_answer

The given problem is 
(1-i)^4
Now, we will reduce it into

(1-i)^4 = ((1-i)^2)^2
                 = (1^2+i^2-2.1.i)^2                                                        (using \ (a-b)^2= a^2+b^2-2ab)
                 =(1-1-2i)^2                                                               (\because i^2 = -1)
                 = (-2i)^2
                 = 4i^2
                 = -4
                                                                         
Therefore, the answer is  -4+i0

Posted by

Gautam harsolia

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