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Question

How is
{(x + 1) / 2}2. - {(x - 1) / 2}2 = x

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Solution

Yes,it is not necessary to cross multiply here.
By skipping 3rd step
We can write
​​​​​​(x^2+2x-1-(x^2-2x-1))/4

=(x^2+2x-1-x^2+2x+1)/4

=4x/4

=x

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