Rewrite the middle term.

Rearrange terms.

Factor first three terms by perfect square rule.

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Reorder terms.

Reorder terms.

Factor x^4+x^2+1

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# Factor x^4+x^2+1

Rewrite the middle term.

Rearrange terms.

Factor first three terms by perfect square rule.

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Reorder terms.

Reorder terms.

Factor x^4+x^2+1