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