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Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
16x4 – 81
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Solution
We have,
16x4 – 81 = (4x2)2 – 92
= (4x2 + 9)(4x2 – 9)
= (4x2 + 9)[(2x)2 – 32]
= (4x2 + 9)(2x + 3)(2x – 3)
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