Factorize:

7a3 + 56b3

We know that,


a3 + b3 = (a + b) (a2 – a × b + b2)


Using this formula, we get


= 7 (a3 + 8b3)


= 7 (a + 2b) (a2 – a × 2b + (2b)2]


= 7 (a + 2b) (a2 – 2ab + 4b2)


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