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Question
Factorize each of the following expression:
(3 + 2a)2 − 25a2
Solution
\[(3 + 2a )^2 - 25 a^2 \]
\[ = (3 + 2a )^2 - (5a )^2 \]
\[ = [(3 + 2a) - 5a][(3 + 2a) + 5a]\]
\[ = (3 + 2a - 5a)(3 + 2a + 5a)\]
\[ = (3 - 3a)(3 + 7a)\]
\[ = 3(1 - a)(3 + 7a)\]
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