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  4. Factorize: a3+b3+3 a b-1

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Q. Factorize: $a^3+b^3+3 a b-1$

Polynomials and Square Roots of Algebraic Expressions

Solution:

$a^3+b^3+3 a b-1$
$ =a^3+b^3+(-1)^3-3 \cdot a \cdot b(-1) $
$ =(a+b-1)(a^2+b^2+1-a b+b+a)$