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

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

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

expand

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

- 2 i

Solution steps

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

Divide the numbers:

\frac{2}{2} = 1

= (i - 1)^{2}

Apply Perfect Square Formula:

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

a = i, b = 1

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

Simplify

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

= - 2 i

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