Factorize:

1. $x^{3} + x - 3 x^{2} - 3$

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Solution

The given expression to be factorized is

Take common x from the first two terms and -3 from the last two terms. That is

Finally, take common x² + 1from the two terms. That is

We cannot further factorize the expression.

So, the required factorization is.

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x^{3} + 3 x^{2} - x - 3

x^{3} - 3 x^{2} - x + 3

x^{3} - 3 x^{2} + x - 3

x^{3} - 3 x^{2} - x + 3

x^{3} + 3 x^{2} - x - 3 ?

x + 1

x - 1

x + 3

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