Find factors of 16 which add to 8:
Factors of 16 are 1 & 16, 2 & 7 and 4 & 4:
Only the last add to 8 so: (x + 4)(x + 4) or (x + 4)2
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x + 4
x2 + 8x + 15 = (x + 3) (x + 5).
x2 + 8x = x(x+8)
(x - 4)(x - 4)
16 + 6x - x2 = 16 + 8x - 2x - x2 = 8*(2 + x) - x*(2 + x) = (8 - x)*(2 + x)