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5+\sqrt{5}-5\sqrt{5}-\left(\sqrt{5}\right)^{2}
Apply the distributive property by multiplying each term of 1-\sqrt{5} by each term of 5+\sqrt{5}.
5-4\sqrt{5}-\left(\sqrt{5}\right)^{2}
Combine \sqrt{5} and -5\sqrt{5} to get -4\sqrt{5}.
5-4\sqrt{5}-5
The square of \sqrt{5} is 5.
-4\sqrt{5}
Subtract 5 from 5 to get 0.