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Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
3a2b3 – 27a4b
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Solution
We have,
3a2b3 – 27a4b = 3a2b(b2 – 9a2)
= 3a2b[b2 – (3a)2]
= 3a2b(b + 3a)(b – 3a)
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