Question

(а²-1)(а⁴+а²+1)-(а+а³)(а³-а)​

Answer 1

Ответ:

решение на фотографии

Answer 2

To simplify the expression (а²-1)(а⁴+а²+1)-(а+а³)(а³-а), let's expand each term and then simplify further:

(а²-1)(а⁴+а²+1) can be expanded as follows: = а²(а⁴+а²+1) - 1(а⁴+а²+1) = а⁶+а⁴+а² - а⁴ - а² - 1

Similarly, (а+а³)(а³-а) can be expanded as: = а(а³-а) + а³(а³-а) = а⁴ - а² + а⁶ - а⁴ = а⁶ - а²

Now, substituting the expanded forms back into the original expression, we have: (а²-1)(а⁴+а²+1)-(а+а³)(а³-а) = (а⁶+а⁴+а² - а⁴ - а² - 1) - (а⁶ - а²) = а⁶+а⁴+а² - а⁴ - а² - 1 - а⁶ + а² = а⁴ - а⁴ + а² - а² + а⁶ - а⁶ - 1 = 0 - 1 = -1

Therefore, the simplified expression is -1.