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2-\sqrt{5}+2\sqrt{5}-\left(\sqrt{5}\right)^{2}
Apply the distributive property by multiplying each term of 1+\sqrt{5} by each term of 2-\sqrt{5}.
2+\sqrt{5}-\left(\sqrt{5}\right)^{2}
Combine -\sqrt{5} and 2\sqrt{5} to get \sqrt{5}.
2+\sqrt{5}-5
The square of \sqrt{5} is 5.
-3+\sqrt{5}
Subtract 5 from 2 to get -3.