Rút gọn biểu thức: P = 12.(5^2 + 1)(5^4 + 1)(5^8 + 1)(5^16 + 1)
Rút gọn biểu thức: P = 12.(52 + 1)(54 + 1)(58 + 1)(516 + 1).
Ta có: (52 – 1).P = (52 – 1).12.(52 + 1)(54 + 1)(58 + 1)(516 + 1)
= 12.(52 – 1)(52 + 1)(54 + 1)(58 + 1)(516 + 1)
= 12.(54 – 1)(54 + 1)(58 + 1)(516 + 1)
= 12.(58 – 1)(58 + 1)(516 + 1)
= 12.(516 – 1)(516 + 1)
= 12.(532 – 1)