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Question
Factorize each of the following algebraic expressions:
6(a + 2b) −4(a + 2b)2
Solution
\[6(a + 2b) - 4(a + 2b )^2 \]
\[ = [6 - 4(a + 2b)](a + 2b) [\text{ Taking }(a + 2b)\text{ as the common factor }]\]
\[ = 2[3 - 2(a + 2b)](a + 2b) {\text{ Taking 2 as the common factor of }[6 - 4(a + 2b)]}\]
\[ = 2(3 - 2a - 4b)(a + 2b)\]
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