若${\left(x+\sqrt{2}\right)}^4=a_0+a_{1}x+a_2{x}^2+a_3{x}^3+a_4{x}^4$，则${\left(a_0+a_2+a_4\right)}^2-{\left(a_1+a_3\right)}^2$的值为（　　）

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