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Question
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − 16
Sum
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Solution
\[a^2 + 2ab + b^2 - 16\]
\[ = a^2 + 2 \times a \times b + b^2 - 16\]
\[ = (a + b )^2 - 4^2 \]
\[ = (a + b - 4)(a + b + 4)\]
\[ = a^2 + 2 \times a \times b + b^2 - 16\]
\[ = (a + b )^2 - 4^2 \]
\[ = (a + b - 4)(a + b + 4)\]
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