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Calculation:99(square of 10 10+1)(the fourth power of 10+1)+1.
99(Square of 10+1)(fourth power of 10+1)+1
=(100-1)(Square of 10+1)(quartic of 10+1)+1
=(10000-1)(10 To the fourth power +1)+1
=100000000-1+1=100000000
99(Square of 10+1)(fourth power of 10+1)+1
=(100-1)(Square of 10+1)(fourth power of 10+1)+1
=(10000-1)(10 To the fourth power +1)+1
=100000000-1+1=100000000
(Third power of 99-99)÷98 calculated using the square difference formula 1. Calculate (the third power of 99-99)÷98 using the square difference formula 2. Calculate the square of (1-2011)/10×1006 using the square difference formula 3. Calculate the square of 57.5×6-425×0.06 with the method of factorization Please introduce the idea of solving the problem. (Third power of 99-99)÷98 calculated using the square difference formula 1. Calculate (the third power of 99-99)÷98 using the square difference formula 2. Calculate the square of (1-2011)/10×1006 using the square difference formula 3. Calculate the square of 57.5×6-425×0.06 with the method of factorization Please tell me more about how to solve the problem.
(1)(99³-99)÷98=99(99²-1)÷98=99(99+1)(99-1)÷98=9900
(2)(1-2011²)/2010×1006=(1+2011)(1-2011)/(2011*1006)
=2012*(-2010)/(2010*1006)=-2
(3)57.5 2×6-425 2×0.06, You lost wrong
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