Evaluate
\left(-\sqrt{3}a+15\right)^{2}
Expand
3a^{2}-30\sqrt{3}a+225
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\left(-\sqrt{3}\right)^{2}a^{2}+30\left(-\sqrt{3}\right)a+225
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(\left(-\sqrt{3}\right)a+15\right)^{2}.
\left(\sqrt{3}\right)^{2}a^{2}+30\left(-\sqrt{3}\right)a+225
Calculate -\sqrt{3} to the power of 2 and get \left(\sqrt{3}\right)^{2}.
3a^{2}+30\left(-\sqrt{3}\right)a+225
The square of \sqrt{3} is 3.
\left(-\sqrt{3}\right)^{2}a^{2}+30\left(-\sqrt{3}\right)a+225
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(\left(-\sqrt{3}\right)a+15\right)^{2}.
\left(\sqrt{3}\right)^{2}a^{2}+30\left(-\sqrt{3}\right)a+225
Calculate -\sqrt{3} to the power of 2 and get \left(\sqrt{3}\right)^{2}.
3a^{2}+30\left(-\sqrt{3}\right)a+225
The square of \sqrt{3} is 3.
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