Question

Выполни умножение:(6−1)(6+1)(6^2+1)(6^4+1)(6^8+1)−6^16+29

Answer 1

(6−1)(6+1)(6^2+1)(6^4+1)(6^8+1)−6^16+29=(6^2-1)(6^2+1)(6^4+1)(6^8+1)−6^16+29=(6^4-1)(6^4+1)(6^8+1)−6^16+29=(6^8-1)(6^8+1)−6^16+29=6^16-1-6^16+29=-1+29=28

Answer 2

(6²-1)(6²+1)(6^4+1)(6^8+1) - 6^16+29=(6^4-1)(6^4+1)(6^8 +1)-6^16+28 =(6^8-1)(6^8+1) -6^16+29=6^16-1 -6^16+29 = -1+29=28
в решении использована формула сокращенного умножения
(a-b)(a+b)=a²-b²
(6-1)(6+1)=6² -1