Question

Rút gọn biểu thức: 3(2² +1)(2⁴+1)(2⁸+1)(2¹⁶+1)

Answer 1

Đặt A=3(2² +1)(2⁴+1)(2⁸+1)(2¹⁶+1)

=(4-1)(2²+1)(2⁴+1)(2⁸+1)(2¹⁶+1)

=[(2²-1)(2²+1)](2⁴+1)(2⁸+1)(2¹⁶+1)

=(2⁴-1)(2⁴+1)(2⁸+1)(2¹⁶+1)

=(2⁸-1)(2⁸+1)(2¹⁶+1)

=(2¹⁶-1)(2¹⁶+1)

=2³²-1

Answer 2

3(2² +1)(2⁴+1)(2⁸+1)(2¹⁶+1) = (2² -1)(2² +1)(2⁴+1)(2⁸+1)(2¹⁶+1) = (2⁴-1)(2⁴+1)(2⁸+1)(2¹⁶+1) = (2⁸-1)(2⁸+1)(2¹⁶+1) 

= (2¹⁶-1)(2¹⁶+1) = 2³²-1

Answer 3

=2³²-1

Answer 4

Đặt A=3(2² +1)(2⁴+1)(2⁸+1)(2¹⁶+1)

=(4-1)(2²+1)(2⁴+1)(2⁸+1)(2¹⁶+1)

=[(2²-1)(2²+1)](2⁴+1)(2⁸+1)(2¹⁶+1)

=(2⁴-1)(2⁴+1)(2⁸+1)(2¹⁶+1)

=(2⁸-1)(2⁸+1)(2¹⁶+1)

=(2¹⁶-1)(2¹⁶+1)

=2³²-1

Answer 5

A=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)

A=(2^4-1)(2^4+1)(2^8+1)(2^16+1)

A=(2^8-1)(2^8+1)(2^16+1)

A=(2^16-1)(2^16+1)

A=2^32-1