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Question
Factorize each of the following expression:
75a3b2 - 108ab4
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Solution
\[75 a^3 b^2 - 108a b^4 \]
\[ = 3a b^2 (25 a^2 - 36 b^2 )\]
\[ = 3a b^2 [(5a )^2 - (6b )^2 ]\]
\[ = 3a b^2 (5a - 6b)(5a + 6b)\]
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