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x^2 -4x+5 by x-2

Quote: Originally Posted by Belanova x^2 -4x+5 by x-2 A quick way to do it: $\displaystyle \frac{x^2 - 4x + 5}{x - 2} = \frac{(x-2)^2 - 4 + 5}{x - 2} = \frac{(x-2)^2 + 1}{x - 2} = x - 2 + \frac{1}{x-2}$.