Factorize each of the following algebraic expression:

Question:

Factorize each of the following algebraic expression:
a2 + 2ab + b2 − 16

Solution:

$a^{2}+2 a b+b^{2}-16$

$=a^{2}+2 \times a \times b+b^{2}-16$

$=(a+b)^{2}-4^{2}$

$=(a+b-4)(a+b+4)$

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