Evaluate
\left(-\sqrt{5}x+3\right)^{2}
Expand
5x^{2}-6\sqrt{5}x+9
Graph
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9-6\sqrt{5}x+\left(\sqrt{5}\right)^{2}x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-\sqrt{5}x\right)^{2}.
9-6\sqrt{5}x+5x^{2}
The square of \sqrt{5} is 5.
9-6\sqrt{5}x+\left(\sqrt{5}\right)^{2}x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-\sqrt{5}x\right)^{2}.
9-6\sqrt{5}x+5x^{2}
The square of \sqrt{5} is 5.
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