Math, asked by sejalbhore02, 2 months ago

1/I+1/i^2-1/^3-1/i^4 express as x+iy​

Answers

Answered by sandy1816
3

\huge\underline\bold\red{★Answer★}

 \frac{1}{i}  +  \frac{1}{ {i}^{2} } -  \frac{1}{{i}^{3} }  -  \frac{1}{ {i}^{4} }  \\  =  \frac{1}{i}   +  \frac{1}{ - 1}   -  \frac{1}{ - i}  -  \frac{1}{1}  \\  =  \frac{1}{i}  - 1 +  \frac{1}{ {i} }  - 1 \\  =  - 2 +  \frac{2}{i}  \\  =  - 2 +  \frac{2i}{   {i}^{2} }  \\  =  - 2  - 2i \\  =  - 2 + ( - 2)i

Answered by Anonymous
1

-2 + (-2)i is the correct answer

Refer the attachment

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