Question

(5-1)(5+1)(5²+1)(5⁴+1)(5⁸+1)-5 ¹⁶+13

Answer 1

Ответ:12

Объяснение: сворачивай по формуле (a-b)(a+b)=a²-b²

(5-1)(5+1)=5²-1;

(5²-1)(5²+1)=5⁴-1

(5⁴-1)(5⁴+1)=5⁸-1 ;     (5⁸-1)(5⁸+1)=5¹⁶-1;

Получим  5¹⁶-1-5¹⁶+13=12 !

Answer 2

Let's break down the expression step by step:

1. (5-1) = 4
2. (5+1) = 6
3. (5²+1) = 26
4. (5⁴+1) = 626
5. (5⁸+1) = 390626

Now, let's calculate the product of these values:

4 * 6 * 26 * 626 * 390626 = 181600572544

Finally, subtract 5¹⁶ and add 13:

181600572544 - 65536 + 13 = 181600506021

So, the result of the expression is 181600506021.