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\sqrt[3]{999\left(998001+3\times 999+3\right)}+1
Calculate 999 to the power of 2 and get 998001.
\sqrt[3]{999\left(998001+2997+3\right)}+1
Multiply 3 and 999 to get 2997.
\sqrt[3]{999\left(1000998+3\right)}+1
Add 998001 and 2997 to get 1000998.
\sqrt[3]{999\times 1001001}+1
Add 1000998 and 3 to get 1001001.
\sqrt[3]{999999999}+1
Multiply 999 and 1001001 to get 999999999.