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\frac{\sqrt{3}x\left(\sqrt{3}\right)^{2}+2x\sqrt{3}x}{4}
Factor out \frac{1}{4}.
x\sqrt{3}\left(3+2x\right)
Consider x\times 3^{\frac{3}{2}}+2\sqrt{3}x^{2}. Factor out x\sqrt{3}.
\frac{x\sqrt{3}\left(2x+3\right)}{4}
Rewrite the complete factored expression.