Question

59³- 41³______ +59×41= 18по формулам!! ​

Answer 1

a³ - b³ = (a - b)(a² + ab + b²)
(a + b)² = a² + 2ab + b²

(59³- 41³)/18 + 59*41 = (59 - 41)(59² + 59*41 + 41²)/18 + 59*41 = 18*(59² + 59*41 + 41²)/18 + 59*41 = 59² + 59*41 +41² + 59*41 = 59² + 2*59*41 +41² = (59 + 41)² = 100² = 10000

Answer 2

Calculation and Formula

The given expression is: 59³ - 41³ / 59 × 41 = 18

To solve this, we can break it down step by step.

First, let's calculate the value of 59³ - 41³: - 59³ is equal to 205379. - 41³ is equal to 68921. - Therefore, 59³ - 41³ equals 136458.

Now, let's calculate the value of 59 × 41: - 59 × 41 equals 2419.

Finally, let's divide the result of 59³ - 41³ by the result of 59 × 41: - 136458 / 2419 equals 56.

So, the value of the given expression 59³ - 41³ / 59 × 41 is 56.

This calculation follows the order of operations (PEMDAS/BODMAS), where we first perform the operations inside the parentheses, then any exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.

The formula used for this calculation is: a³ - b³ / a × b = (a³ - b³) / (a × b)

This formula is based on the principles of arithmetic and algebra, where the difference of cubes is calculated first, followed by the multiplication, and then the division.

The result of 56 is obtained by applying this formula to the given expression.

Source: 'Arithmetic and Algebra Formulas' Snippet: ```The difference of cubes formula is a³ - b³ = (a - b)(a² + ab + b²).```