Factorize: \( a^{3}+b^{3}+3 a b-1 \). (a) \( (a+b-1)\left(a^{2}+b^{2}+a+b+1-a b\right) \) (b) \(...

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Factorize: \( a^{3}+b^{3}+3 a b-1 \).
(a) \( (a+b-1)\left(a^{2}+b^{2}+a+b+1-a b\right) \)
(b) \( (a+b-1)\left(a^{2}+b^{2}+a+b-1+a b\right) \)
(c) \( (a+b-1)\left(a^{2}+b^{2}-a-b+1+a b\right) \)
(d) None of these
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