Cmr A =11^1000 -1 chia hết 1000
B=2^99+2^9 chia hết 100
Anh TrúcTeacher
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A= Áp dụng nhị thức Niu-tơn a^n – b^n ta có:
11^100 – 1= (11-1).(11^99+11^98+…+11+1)
Do 11^99+11^98+…+11+1 tận cùng là 100
Vậy A= 11^100-1 chia hết cho 1000
B = Ta có 2^99 = (230)3.2 mũ 3 = (……24)3.8 = ……24 . 12 = …..88
2^9 = …12
Suy ra 2^9+2^99 = …88 +…12 = …..00
Vậy B = 2^99+ 2^99 chia hết cho 100