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

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

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

expand

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

- 2 i

Solution steps

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

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

= (1 - i)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = 1, b = i

= 1^{2} - 2 \cdot 1 i + i^{2}

Simplify

1^{2} - 2 \cdot 1 i + i^{2} : - 2 i

= - 2 i

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