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Question
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
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Solution
\[(x + 2 )^2 - 6(x + 2) + 9\]
\[ = (x + 2 )^2 - 2 \times (x + 2) \times 3 + 3^2 \]
\[ = [(x + 2) - 3 ]^2 \]
\[ = (x + 2 - 3 )^2 \]
\[ = (x - 1 )^2 \]
\[ = (x - 1)(x - 1)\]
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