x3 + 2x2 - 5x - 6 = x3 + x2 + x2 + x - 6x - 6 = x2(x + 1) + x(x + 1) - 6(x + 1)
= (x + 1)(x2 + x - 6) = (x + 1)(x2 + 3x - 2x - 6) = (x + 1)[x(x + 3) - 2(x + 3)]
= (x + 1)(x + 3)(x - 2)
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8(m+n)
2x+2 The commonality is 2, so you write 2(x+1) and it is factored.
w2+18w+77 = (w+7)(w+11) when factored
4(2b+5)
(x + 5)2