1.

Factorize : `a^(3) + b^(3) + 3ab -1`A. `(a + b-1) (a^(2) + b^(2) + a + b +1 -ab)`B. `(a +b -1) (a^(2) + b^(2) + a + b -1 + ab)`C. `(a +b -1) (a^(2) + b^(2) -a - b+ 1 + ab)`D. None of these

Answer» Correct Answer - A
`a^(3) +b^(3) + 3ab -1`
`= a^(3) +b^(3) + (-1)^(3) -3 . A. b(-1)`
`= (a +b -1) (a^(2) +b^(2) +1 - ab + b +a)`


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