Factor
\frac{3\sqrt{x}\left(2x^{\frac{3}{2}}+1\right)}{2}
Evaluate
3x^{2}+\frac{3\sqrt{x}}{2}
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\frac{2\sqrt{x}+\sqrt{x}+6x^{2}}{2}
Factor out \frac{1}{2}.
\sqrt{x}\left(3+6x^{\frac{3}{2}}\right)
Consider 2\sqrt{x}+\sqrt{x}+6x^{2}. Factor out \sqrt{x}.
\frac{\sqrt{x}\left(3+6x^{\frac{3}{2}}\right)}{2}
Rewrite the complete factored expression.
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