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