Try to explain: 11 ^ 10 - 1 can be divided by 10 ^ 2 Using the square difference formula | Math enthusiast | Mathematical art

Try to explain: 11 ^ 10 - 1 can be divided by 10 ^ 2 Using the square difference formula

11 ^ 10-1 = (11 ^ 5-1) (11 ^ 5 + 1) = (11-1) (1 + 11 + 11 ^ 2 + 11 ^ 3 + 11 ^ 4) (11 ^ 5 + 1) = 10 (1 + 11 + 11 ^ 2 + 11 ^ 3 + 11 ^ 4) (11 ^ 5 + 1) because the end number of (1 + 11 + 11 ^ 2 + 11 ^ 3 + 11 ^ 4) is 5 and the end number of (11 ^ 5 + 1) is 2, which is even, 11 ^ 10-1 can be divided by 100

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