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\((-x + y)(-y + x) = xy -x^2 -y^2 + xy\) or, \((-x + y)(-y + x) = 2xy -x^2 - y^2\) or, \((-x + y)(-y + x) = -(-2xy + x^2 + y^2)\) The expression inside the bracket is similar to \((a-b)^2\) so in that format The expression reduces to \(-(x - y)^2\) option D
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Factor out \(-1\) from the parentheses on the left and rearrange the expression in the parentheses on the right to get \(-1(x - y) (x - y) = -(x - y)^2\). The answer is choice (D).
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