Question

A+1/a^3-1 - 1/a^2+a+1

Answer 1

Ответ:

2^4-a+1/a^3

Объяснение:

a+1/a^3-1/a^2+a

2a+1/a^3-1/a^2+a

потом ответ

Answer 2

It appears you have an expression, and you'd like to simplify it. Let's work on simplifying the expression step by step:

A + 1 / (a^3 - 1) - 1 / (a^2 + a + 1)

First, let's factor the denominators where possible:

a^3 - 1 can be factored as (a - 1)(a^2 + a + 1).

Now, rewrite the expression with the factored denominators:

A + 1 / [(a - 1)(a^2 + a + 1)] - 1 / (a^2 + a + 1)

Next, find a common denominator for the two fractions. The common denominator will be (a - 1)(a^2 + a + 1):

A*(a - 1)(a^2 + a + 1) / [(a - 1)(a^2 + a + 1)] + 1 / [(a - 1)(a^2 + a + 1)] - 1 / (a^2 + a + 1)

Now that the fractions have a common denominator, you can combine them:

[A*(a - 1)(a^2 + a + 1) + 1 - (a - 1)] / [(a - 1)(a^2 + a + 1)]

Now, distribute A in the numerator:

[A*(a - 1)(a^2 + a + 1) + 1 - (a - 1)] / [(a - 1)(a^2 + a + 1)]

Now, simplify the numerator further:

[A*(a^3 + a^2 + a - a^2 - a + 1) + 1 - (a - 1)] / [(a - 1)(a^2 + a + 1)]

Notice that some terms in the numerator cancel out:

[A*(a^3 + 1) + 1 - a + 1] / [(a - 1)(a^2 + a + 1)]

Simplify further:

[A*a^3 + A + 2 - a] / [(a - 1)(a^2 + a + 1)]

Now, you can't simplify this expression any further without knowing the values of A and a. If you have specific values for A and a, you can substitute them into this expression to get a numerical result. If this is a general expression, then the simplification provided above is as far as it can go without specific values.