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x^{2}+\left(-2\right)^{2}\left(\sqrt{2}\right)^{2}x^{2}
Expand \left(-2\sqrt{2}x\right)^{2}.
x^{2}+4\left(\sqrt{2}\right)^{2}x^{2}
Calculate -2 to the power of 2 and get 4.
x^{2}+4\times 2x^{2}
The square of \sqrt{2} is 2.
x^{2}+8x^{2}
Multiply 4 and 2 to get 8.
9x^{2}
Combine x^{2} and 8x^{2} to get 9x^{2}.
x^{2}+\left(-2\right)^{2}\left(\sqrt{2}\right)^{2}x^{2}
Expand \left(-2\sqrt{2}x\right)^{2}.
x^{2}+4\left(\sqrt{2}\right)^{2}x^{2}
Calculate -2 to the power of 2 and get 4.
x^{2}+4\times 2x^{2}
The square of \sqrt{2} is 2.
x^{2}+8x^{2}
Multiply 4 and 2 to get 8.
9x^{2}
Combine x^{2} and 8x^{2} to get 9x^{2}.