Factorize:

1 + 64x3


We know that,


a3 + b3 = (a + b) (a2 – a × b + b2)


Using this formula, we get


= (1)3 + (4x)3


= (1 + 4x) [(1)2 – 1 (4x) + (4x)2]


= (1 + 4x) (1 – 4x + 16x2)


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