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\left(\frac{99+1}{9}\right)^{2}
Multiply 11 and 9 to get 99.
\left(\frac{100}{9}\right)^{2}
Add 99 and 1 to get 100.
\frac{10000}{81}
Calculate \frac{100}{9} to the power of 2 and get \frac{10000}{81}.