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2x\left(\frac{xx}{2\sqrt{x^{2}+9}}+\sqrt{x^{2}+4}\right)
Factor out 2x.
\frac{\frac{x^{2}}{\sqrt{x^{2}+9}}+2\sqrt{x^{2}+4}}{2}
Consider \frac{1}{2}\left(x^{2}+9\right)^{-\frac{1}{2}}x^{2}+\left(x^{2}+4\right)^{\frac{1}{2}}. Factor out \frac{1}{2}.
x\left(\frac{x^{2}}{\sqrt{x^{2}+9}}+2\sqrt{x^{2}+4}\right)
Rewrite the complete factored expression.