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1-\left(1-0.9\right)^{2}
Multiply 1-0.9 and 1-0.9 to get \left(1-0.9\right)^{2}.
1-0.1^{2}
Subtract 0.9 from 1 to get 0.1.
1-0.01
Calculate 0.1 to the power of 2 and get 0.01.
0.99
Subtract 0.01 from 1 to get 0.99.