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x3 + x2 - x - 1 = x2(x+1) - 1(x+1) =(x+1)(x2-1) = (x+1)(x+1)(x-1)
(x - 1)/x = x/x - 1/x = 1 - 1/x
(x - 1)(x - 1)(x - 1) - (x + 1)(x + 1)(x + 1)
Note that x² - 1 can be written as: x² + x - x - 1 Then, factor-by-group the expression to get: x(x + 1) - (x + 1) = (x - 1)(x + 1) Hence, x2 - 1 = (x + 1)(x - 1)
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