Question

(а3-b3)(a3+b3)(a6+b6)=?a3-эт степень.Помогите...

Answer 1

(a³ - b³)(a³ + b³)(a^6 + b^6) = (a^6 - b^6)(a^6 + b^6) = a¹² - b¹² - всюду формула разности квадратов.

Answer 2

Calculating (a^3-b^3)(a^3+b^3)(a^6+b^6)

To calculate the expression (a^3-b^3)(a^3+b^3)(a^6+b^6), we can use the formula for the difference of cubes, which is a^3 - b^3 = (a - b)(a^2 + ab + b^2). Let's break down the expression step by step.

1. (a^3-b^3) Using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2).

2. (a^3+b^3) This is the sum of cubes, which is a^3 + b^3 = (a + b)(a^2 - ab + b^2).

3. (a^6+b^6) This is the sum of squares, which is a^6 + b^6 = (a^3 + b^3)(a^3 - ab^3 + b^3).

Let's put it all together:

(a^3-b^3)(a^3+b^3)(a^6+b^6) = (a - b)(a^2 + ab + b^2)(a + b)(a^2 - ab + b^2)(a^3 + b^3)(a^3 - ab^3 + b^3)

This is the expanded form of the given expression. If you need further assistance with specific values of a and b, feel free to provide them for a more detailed calculation.