Factorize each of the following expression:
64 − (a + 1)²

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Solution

$64 - (a + 1)^{2} = (8)^{2} - (a + 1)^{2} = [8 - (a + 1)] [8 + (a + 1)] = (8 - a - 1) (8 + a + 1) = (7 - a) (9 + a)$

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