We start with the expression −(2x−5)2-(2x - 5)^2−(2x−5)2. To simplify it, we first expand the square of the binomial: (2x−5)2=(2x)2−2⋅(2x)⋅5+52=4x2−20x+25 (2x - 5)^2 = (2x)^2 - 2 \cdot (2x) \cdot 5 + 5^2 = 4x^2 - 20x + 25 (2x−5)2=(2x)2−2⋅(2x)⋅5+52=4x2−20x+25
Next, we apply the negative sign to the expanded expression: −(4x2−20x+25)=−4x2+20x−25 -(4x^2 - 20x + 25) = -4x^2 + 20x - 25 −(4x2−20x+25)=−4x2+20x−25
The simplified expression is: −4x2+20x−25 \boxed{-4x^2 + 20x - 25} −4x2+20x−25
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