Question

(а-b)³+(a+b) ³ если сможете с объяснениями

Answer 1

Вложение фото решения и ответа.

Answer 2

Calculating (a-b)³ + (a+b)³

To calculate the expression (a-b)³ + (a+b)³, we can use the formula for the sum of cubes, which is:

a³ + b³ = (a + b)(a² - ab + b²)

Let's break down the calculation step by step:

1. Calculate (a-b)³: - Using the formula for the difference of cubes, we get: - (a - b)³ = (a - b)(a² + 2ab - b²)

2. Calculate (a+b)³: - Using the formula for the sum of cubes, we get: - (a + b)³ = (a + b)(a² - 2ab + b²)

3. Add the results: - Now, we add the results of (a-b)³ and (a+b)³.

Let's put it all together:

Step 1: Calculate (a-b)³ - (a - b)³ = (a - b)(a² + 2ab - b²)

Step 2: Calculate (a+b)³ - (a + b)³ = (a + b)(a² - 2ab + b²)

Step 3: Add the results - (a - b)³ + (a + b)³ = (a - b)(a² + 2ab - b²) + (a + b)(a² - 2ab + b²)

This is the detailed breakdown of how to calculate the expression (a-b)³ + (a+b)³ using the formulas for the sum and difference of cubes.