(x+5)(x-3)
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-(x - 1)(x2 + x + 1)
x2 - 14x = -49 ∴ x2 - 14x + 49 = 0 ∴ (x - 7)2 = 0 ∴ x = 7
(x + 8)(x + 2)
X4 - 144 (X2 - 12)(X2 + 12) As there is no linear term I see no further factoring.
x2 + 5x - 6 = x2 + 6x - x - 6 = x(x + 6) - 1(x + 6) = (x - 1)(x + 6)