Question

[Trần Thị Như Hoa]

tính: A=(2+1).(2^2+1).(2^4+1).(2^8+1).(2^16+1)+(2^32+1)-(2^64).

Answer 1

[soyeon_Tiểu bàng giải]

A = (2 + 1)(2² + 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1)(2³² + 1) - 2⁶⁴

A = (2 - 1)(2 + 1)(2² + 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1)(2³² + 1) - 2⁶⁴

A = (2² - 1)(2² + 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1)(2³² + 1) - 2⁶⁴

A = (2⁴ - 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1)(2³² + 1) - 2⁶⁴

A = (2⁸ - 1)(2⁸ + 1)(2¹⁶ + 1)(2³² + 1) - 2⁶⁴

A = (2¹⁶ - 1)(2¹⁶ + 1)(2³² + 1) - 2⁶⁴

A = (2³² - 1)(2³² + 1) - 2⁶⁴

A = 2⁶⁴ - 1 - 2⁶⁴

A = -1