Question

Zdrastvuyte. pomogite reshit primer a^3+2a^2-a-2

Answer 1

Вот решение!))))))))))

Answer 2

Zdravstvuyte! Sure, I can help you solve the expression. To solve the expression a^3 + 2a^2 - a - 2, we need to factor it. Here's the step-by-step process:

1. First, we look for any common factors among the terms. There are no common factors among all the terms.

2. Next, we try to factor the expression by grouping the terms:

a^3 + 2a^2 - a - 2

Group the first two terms and the last two terms:

(a^3 + 2a^2) - (a + 2)

3. Factor out the greatest common factor from each group:

a^2(a + 2) - 1(a + 2)

4. Now, you can see that we have a common binomial factor, which is (a + 2). Factor it out:

(a + 2)(a^2 - 1)

5. Finally, we can factor the difference of squares in the second term:

(a + 2)(a + 1)(a - 1)

So, the factored form of the expression is (a + 2)(a + 1)(a - 1).