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Question
Factorize each of the following algebraic expression:
36a2 + 36a + 9
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Solution
\[36 a^2 + 36a + 9\]
\[ = 9(4 a^2 + 4a + 1)\]
\[ = 9\left\{ (2a )^2 + 2 \times 2a \times 1 + 1^2 \right\}\]
\[ = 9(2a + 1 )^2 \]
\[ = 9(2a + 1)(2a + 1)\]
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