A/ab-2b²:4a²/a²-4ab+4b²

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To simplify this expression, first factor out a common factor from each term:

ab - 2b^2 = b(a - 2b)
4a^2 = 4a^2
a^2 - 4ab + 4b^2 = (a - 2b)(a - 2b)

Now, the expression becomes:
(b(a - 2b))/(a - 2b)^2

Since a - 2b cancels out, the final simplified expression is:

b / (a - 2b)