Expand
12x^{2}-4\sqrt{3}x+1
Evaluate
\left(2\sqrt{3}x-1\right)^{2}
Graph
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4\left(\sqrt{3}\right)^{2}x^{2}-4\sqrt{3}x+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2\sqrt{3}x-1\right)^{2}.
4\times 3x^{2}-4\sqrt{3}x+1
The square of \sqrt{3} is 3.
12x^{2}-4\sqrt{3}x+1
Multiply 4 and 3 to get 12.
4\left(\sqrt{3}\right)^{2}x^{2}-4\sqrt{3}x+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2\sqrt{3}x-1\right)^{2}.
4\times 3x^{2}-4\sqrt{3}x+1
The square of \sqrt{3} is 3.
12x^{2}-4\sqrt{3}x+1
Multiply 4 and 3 to get 12.
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