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\left(\sqrt{19}\right)^{2}-10\sqrt{19}+25
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{19}-5\right)^{2}.
19-10\sqrt{19}+25
The square of \sqrt{19} is 19.
44-10\sqrt{19}
Add 19 and 25 to get 44.
\left(\sqrt{19}\right)^{2}-10\sqrt{19}+25
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{19}-5\right)^{2}.
19-10\sqrt{19}+25
The square of \sqrt{19} is 19.
44-10\sqrt{19}
Add 19 and 25 to get 44.