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\sqrt{5}\sqrt{3}+\left(\sqrt{5}\right)^{2}-\sqrt{3}-\sqrt{5}
Apply the distributive property by multiplying each term of \sqrt{5}-1 by each term of \sqrt{3}+\sqrt{5}.
\sqrt{15}+\left(\sqrt{5}\right)^{2}-\sqrt{3}-\sqrt{5}
To multiply \sqrt{5} and \sqrt{3}, multiply the numbers under the square root.
\sqrt{15}+5-\sqrt{3}-\sqrt{5}
The square of \sqrt{5} is 5.