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Question

Express in the standard form (1+i)23−i

A
1535i
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B
15+35i
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C
1535i
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D
15+35i
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Solution

The correct option is D 15+35i
(1+i)23i=1+2i+i23i .......... (a+b)2=a2+2ab+b2

=1+2i13i .......... i=1i2=1

=2i3i×3+i3+i

=6i+2i29i2

=2+6i10 .......... i=1i2=1

=15+35i

Ans: D

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