Question

Чему равна сумма квадрата разности кубов чисел 2 и 1 и куба числа 3?

Answer 1

(2^3-1^3)^2 + 3^3 = (8-1)^2 + 27 = 49+27 = 76

Answer 2

Calculating the Sum of the Square of the Difference of Cubes of 2 and 1 and the Cube of 3

To calculate the sum of the square of the difference of the cubes of 2 and 1 and the cube of 3, we can use the formula for the difference of squares, which is: a^2 - b^2 = (a - b) * (a + b).

Using this formula, we can calculate the sum of the square of the difference of the cubes of 2 and 1 and the cube of 3 as follows:

Step 1: Calculate the difference of the cubes of 2 and 1: - (2^3 - 1^3) = (2 - 1) * (2^2 + 2*1 + 1^2).

Step 2: Calculate the cube of 3: - 3^3 = 27.

Step 3: Add the results from Step 1 and Step 2: - (2 - 1) * (2^2 + 2*1 + 1^2) + 27.

Step 4: Simplify the expression: - (2 - 1) * (2^2 + 2*1 + 1^2) + 27 = 1 * (4 + 2 + 1) + 27 = 7 + 27 = 34.

Answer: The sum of the square of the difference of the cubes of 2 and 1 and the cube of 3 is 34.