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Factorize Each of the Following Algebraic Expression: 36a2 + 36a + 9 - Mathematics

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Question

Factorize each of the following algebraic expression:
36a2 + 36a + 9

Sum
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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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Chapter 7: Factorization - Exercise 7.6 [Page 22]

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RD Sharma Mathematics [English] Class 8
Chapter 7 Factorization
Exercise 7.6 | Q 4 | Page 22

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