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** Step-by-step Solution **

Problem to solve:

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The trinomial $x^4+6x^2+9$ is a perfect square trinomial, because it's discriminant is equal to zero

Learn how to solve polynomial long division problems step by step online.

$\Delta=b^2-4ac=6^2-4\left(1\right)\left(9\right) = 0$

Learn how to solve polynomial long division problems step by step online. Simplify the expression (x^3+x-1)/(x^4+6x^2+9). The trinomial x^4+6x^2+9 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.

** Final Answer

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