Question

3³² - (3² - 1)(3²+ 1)(3⁴ + 1)(3⁸ + 1)(3¹⁶ + 1).

Answer 1

Ответ:

Объяснение:

применим формулу (a-b)(a+b)=a²-b²

тогда (3² - 1)(3²+ 1)=(3²)² - 1²=3⁴-1

затем по этой же формуле (3⁴ + 1)(3⁴ + 1)= 3⁸ -1

далее

(3⁸ -1)(3⁸ + 1)=3¹⁶ -1

(3¹⁶ -1)(3¹⁶ + 1)=3³² -1

3³² - (3² - 1)(3²+ 1)(3⁴ + 1)(3⁸ + 1)(3¹⁶ + 1)=

=3³² - (3⁴ - 1)(3⁴ + 1)(3⁸ + 1)(3¹⁶ + 1)=

=3³² - (3⁸ -1)(3⁸ + 1)(3¹⁶ + 1)=

=3³² - (3¹⁶ -1)(3¹⁶ + 1)=

=3³² - (3³² -1)=

=3³² - 3³² +1=1

Answer 2

Ответ:

Объяснение: =3³² -(3⁴-1)(3⁴+1)(3⁸+1)(3¹⁶+1)=3³² - (3⁸-1)(3⁸+1)(3¹⁶+1)=

3³² - (3¹⁶-1)(3¹⁶+1)=3³² - (3³²-1) =3³² -3³²+1= 1.

Answer 3

To calculate the expression 3³² - (3² - 1)(3²+ 1)(3⁴ + 1)(3⁸ + 1)(3¹⁶ + 1), you can follow these steps:

Step 1: Calculate the values inside the parentheses and then multiply them together.

(3² - 1) = 9 - 1 = 8 (3² + 1) = 9 + 1 = 10 (3⁴ + 1) = 81 + 1 = 82 (3⁸ + 1) = 6561 + 1 = 6562 (3¹⁶ + 1) = 43046721 + 1 = 43046722

Step 2: Multiply these values together.

8 * 10 * 82 * 6562 * 43046722

Step 3: Calculate the result of the multiplication from Step 2.

8 * 10 * 82 * 6562 * 43046722 = 20971520 * 6562 * 43046722

Step 4: Multiply the remaining values.

20971520 * 6562 * 43046722 = 2899102920199680

Step 5: Finally, subtract this result from 3³².

3³² - 2899102920199680 = 1859212725971988475341

So, the result of the expression 3³² - (3² - 1)(3²+ 1)(3⁴ + 1)(3⁸ + 1)(3¹⁶ + 1) is 1859212725971988475341.