Expand
5x^{2}-4\sqrt{5}x+4
Evaluate
\left(\sqrt{5}x-2\right)^{2}
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\left(\sqrt{5}\right)^{2}x^{2}-4\sqrt{5}x+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{5}x-2\right)^{2}.
5x^{2}-4\sqrt{5}x+4
The square of \sqrt{5} is 5.
\left(\sqrt{5}\right)^{2}x^{2}-4\sqrt{5}x+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{5}x-2\right)^{2}.
5x^{2}-4\sqrt{5}x+4
The square of \sqrt{5} is 5.
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