Difference between Double and Single Entries
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Rearrange: \(x^2 - 5x + 6 - y^2 + 2y = (x^2 - 5x + 6) - (y^2 - 2y)\). Factor each part: \(x^2 - 5x + 6 = (x - 2)(x - 3)\) and \(y^2 - 2y = y(y - 2)\). This doesn't directly factor further. Alternative approach: Group as \((x^2 - y^2) + (-5x + 2y) + 6 = (x - y)(x + y) -5x + 2y + 6\). This expression cannot be neatly factorized into simple linear factors.
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