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Question
Factorise:
1 + 64x3
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Solution
1 + 64x3 = (1)3 + (4x)3
= (1 + 4x)[(1)2 – (1)(4x) + (4x)2] ...[Using identity, a3 – b3 = (a + b)(a2 – ab + b2)]
= (1 + 4x)(1 – 4x + 16x2)
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