Question

Tính nhanh 3(2^2+1)(2^4+1)(2^8+1)(2^16+1)

Answer 1

3(2^2+1)(2^4+1)(2^8+1)(2^16+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