Question

Выполнить умножение (5−1)⋅(5+1)⋅(5^2+1)⋅(5^4+1)⋅(5^8+1)−5^16+8

Answer 1

Ответ:

$(5 - 1)(5 + 1)( {5}^{2} + 1)( {5}^{4} + 1)( {5}^{8} + 1) - {5}^{16} + 8 = ( {5}^{2} - 1)( {5}^{2} + 1)( {5}^{4} + 1)( {5}^{8} + 1) - {5}^{16} + 8 = ( {5}^{4} - 1)( {5}^{4} + 1)( {5}^{8} + 1) - {5}^{16} + 8 = ( {5}^{8} - 1)( {5}^{8} + 1) - {5}^{16} + 8 = {5}^{16} - 8 - {5}^{16} + 8 = 0$