Question

(4−1)⋅(4+1)⋅(42+1)⋅(44+1)⋅(48+1)−416+42

Answer 1

Ответ:

$\underbrace {(4-1)(4+1)}_{4^2-1}(4^2+1)(4^4+1)(4^8+1)-4^{16}+4^2=\\\\\\=\underbrace {(4^2-1)(4^2+1)}_{4^4-1}(4^4+1)(4^8+1)-4^{16}+4^2=\\\\\underbrace {(4^4-1)(4^4+1)}_{4^8-1}(4^8+1)-4^{16}+4^2=\\\\=\underbrace {(4^8-1)(4^8+1)}_{4^{16}-1}-4^{16}+4^2=\\\\=(4^{16}-1)-4^{16}+4^2=-1+4^2=-1+16=15$

$\star \ \ (A-B)(A+B)=A^2-B^2\ \ \star$

Answer 2

Ответ:

1421851

Объяснение:

(4-1)*(4+1)*(42+1)*(44+1)*(48+1)-416+42

(такое чувство будто бы пример от балды сделал влпорвшргвшр)

итак. решаем то, что в скобочках.

3*5*43*45*49-416+42 = 1422225-416+42 = 1421800 + 42 = 1421851

легко. :з

Answer 3

Let's simplify the expression step by step:

1. Inside the parentheses, perform the additions first: (4 - 1) = 3 (4 + 1) = 5 (4^2 + 1) = 17 (4^4 + 1) = 257 (4^8 + 1) = 65537

2. Now, substitute these values back into the expression: 3 * 5 * 17 * 257 * 65537 - 416 + 42

3. Multiply the numbers: 3 * 5 = 15 15 * 17 = 255 255 * 257 = 65535 65535 * 65537 = 4294836225

4. Add and subtract the remaining numbers: 4294836225 - 416 + 42

5. Finally, perform the remaining additions and subtractions: 4294836225 - 416 + 42 = 4294835791

So, the simplified result of the expression is 4294835791.