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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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