What is expand 1/(((1-i)-2)^2) ?

The solution to expand 1/(((1-i)-2)^2) is -i/2

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expand 1/(((1-i)-2)^2)

expand

\frac{1}{( ( 1 - i ) - 2 ) ^{2}}

- \frac{i}{2}

Solution steps

\frac{1}{( ( 1 - i ) - 2 ) ^{2}}

Remove parentheses:

(a) = a

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

Subtract the numbers:

1 - 2 = - 1

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

(- 1 - i)^{2} = 2 i

= \frac{1}{2 i}

Rationalize

\frac{1}{2 i} : - \frac{i}{2}

= - \frac{i}{2}

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