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Factorise : a^(3)-b^(3)+1+3ab...

Factorise : `a^(3)-b^(3)+1+3ab`

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The correct Answer is:
`(a-b+1)(a^(2)+b^(2)+1+ab+b-a)`
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Factorise a^(3) - 3b^(2) + 3a^(2) - ab^(2) The following steps are involved in solving the above problem . Arrange them in sequential order . (A) (a + 3) (a^(2) - b^(2)) (B) Rearrange the terms as a^(3) + 3a^(2) - 3b^(2) - ab^(2) (C) a^(2) (a + 3) - b^(2) ( 3 + a) (D) (a + 3) (a + b) ( a-b)