To factor (x + 5)^{2} - 4 ,
use the formula a^{2} - b^{2} = (a - b)(a + b),
Note that here, "a" is "x + 5" and "b" is "2", to get:
(x + 5)^{2} - 4 = (x + 5 -2)(x + 5 + 2) = (x + 3)(x + 7).

No more factoring is possible.

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