Question

(а-1)(а²+а+1)-а²(а-8)​

Answer 1

Ответ:

Пошаговое объяснение:

(а-1)(а²+а+1)-а²(а-8)​= a³-1-a³+8a²= 8a²-1

Answer 2

To simplify the expression (а-1)(а²+а+1)-а²(а-8), let's expand the terms and then combine like terms:

Expanding the first term: (а-1)(а²+а+1) = а(а²+а+1) - 1(а²+а+1) = а³+а²+а - а²-а-1 = а³+а²-а²+а-а-1 = а³-1

Expanding the second term: -а²(а-8) = -а³ + 8а²

Now we can substitute the expanded forms back into the original expression:

(а-1)(а²+а+1)-а²(а-8) = (а³-1) -а³ + 8а² = а³ - а³ - 1 + 8а² = -1 + 8а²

Therefore, the simplified form of the expression (а-1)(а²+а+1)-а²(а-8) is -1 + 8а².