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\frac{1001}{4012009-2001^{2}}
Calculate 2003 to the power of 2 and get 4012009.
\frac{1001}{4012009-4004001}
Calculate 2001 to the power of 2 and get 4004001.
\frac{1001}{8008}
Subtract 4004001 from 4012009 to get 8008.
\frac{1}{8}
Reduce the fraction \frac{1001}{8008} to lowest terms by extracting and canceling out 1001.