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\left(-\left(x+\sqrt{2}\right)+x-1\right)\left(2-2^{\frac{1}{2}}+\left(-3+2\times 2^{\frac{1}{2}}\right)x+\left(1-2^{\frac{1}{2}}\right)x^{2}-2+2\times 2^{\frac{1}{2}}+\left(4-2\times 2^{\frac{1}{2}}\right)x-\left(1-2^{\frac{1}{2}}\right)x^{2}\right)
Factor out common term -\left(x+\sqrt{2}\right)+x-1 by using distributive property.
\left(-\left(x+\sqrt{2}\right)+x-1\right)\left(\sqrt{2}+\left(-3+2\sqrt{2}\right)x+\left(4-2\sqrt{2}\right)x\right)
Rewrite the complete factored expression.