\(x^4+9\)
\(=\left(x^2\right)^2+2.x^2.3+3^2-2.x^2.3\)
\(=\left(x^2\right)^2+6x^2+3^2-6x^2\)
\(=\left(x^2+3\right)^2-\left(\sqrt{6}x\right)^2\)
\(=\left(x^2+3-\sqrt{6}x\right)\left(x^2+3+\sqrt{6}x\right)\)
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