Expand
x^{3}-3\sqrt{2}x^{2}+6x-2\sqrt{2}
Evaluate
\left(x-\sqrt{2}\right)^{3}
Graph
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x^{3}-3x^{2}\sqrt{2}+3x\left(\sqrt{2}\right)^{2}-\left(\sqrt{2}\right)^{3}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-\sqrt{2}\right)^{3}.
x^{3}-3x^{2}\sqrt{2}+3x\times 2-\left(\sqrt{2}\right)^{3}
The square of \sqrt{2} is 2.
x^{3}-3x^{2}\sqrt{2}+6x-\left(\sqrt{2}\right)^{3}
Multiply 3 and 2 to get 6.
x^{3}-3x^{2}\sqrt{2}+3x\left(\sqrt{2}\right)^{2}-\left(\sqrt{2}\right)^{3}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-\sqrt{2}\right)^{3}.
x^{3}-3x^{2}\sqrt{2}+3x\times 2-\left(\sqrt{2}\right)^{3}
The square of \sqrt{2} is 2.
x^{3}-3x^{2}\sqrt{2}+6x-\left(\sqrt{2}\right)^{3}
Multiply 3 and 2 to get 6.
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