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\left(\sqrt{3}-1\right)^{2}
Calculate the square root of 1 and get 1.
\left(\sqrt{3}\right)^{2}-2\sqrt{3}+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{3}-1\right)^{2}.
3-2\sqrt{3}+1
The square of \sqrt{3} is 3.
4-2\sqrt{3}
Add 3 and 1 to get 4.
\left(\sqrt{3}-1\right)^{2}
Calculate the square root of 1 and get 1.
\left(\sqrt{3}\right)^{2}-2\sqrt{3}+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{3}-1\right)^{2}.
3-2\sqrt{3}+1
The square of \sqrt{3} is 3.
4-2\sqrt{3}
Add 3 and 1 to get 4.