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Question
Factorise the following:
16a4 – 81b4
Sum
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Solution
16a4 – 81b4
⇒ [(2a)2]2 – [(3b)2]2
⇒ [(2a)2 + (3b)2][(2a)2 – (3b)2]
⇒ [4a2 + 9b2][2a + 3b][2a – 3b]
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