Question

(2-1)(2+1)(2^2+1)(2^4+1)(2^3+1)-2^16​

Answer 1

Ответ:

умножим это выражение на 1= (2-1).

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

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

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

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

=2^16-1 -2^16 = -1

Answer 2

Let's simplify the expression step by step:

1. Start with the given expression: (2-1)(2+1)(2^2+1)(2^4+1)(2^3+1)-2^16

2. Calculate the values inside each set of parentheses:

   • (2-1) = 1
   • (2+1) = 3
   • (2^2+1) = 4 + 1 = 5
   • (2^4+1) = 16 + 1 = 17
   • (2^3+1) = 8 + 1 = 9

3. Now, substitute these values back into the expression:

   1 * 3 * 5 * 17 * 9 - 2^16

4. Multiply the numbers together:

   1 * 3 * 5 * 17 * 9 = 2295

5. Subtract 2^16 from the result:

   2295 - 65536 = -63241

So, the simplified expression is -63241.