Question

A^2+a+1/(черточка дроби) a^3-1

Answer 1

Ответ:

$\frac{a {}^{2} + a + 1 }{a {}^{3} - 1 } = \frac{1}{a - 1}$

Answer 2

Ответ:

Пошаговое объяснение:

а^2+a+1

a^3-1    

разложим знаменатель на множители

а^2+a+1          

(a-1)*(a^2+a+1)    

остается

1/(а-1)

Answer 3

To clarify, are you asking for the simplified expression of the expression "A^2 + a + 1/(a^3 - 1)"? If so, I can help you with that.

To simplify the expression, let's first focus on the denominator, "a^3 - 1." Notice that it is a difference of cubes, which can be factored using the formula "a^3 - b^3 = (a - b)(a^2 + ab + b^2)." In this case, a = a and b = 1. Applying the formula, we have:

a^3 - 1 = (a - 1)(a^2 + a + 1).

Now, we can rewrite the expression as:

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

At this point, we cannot simplify the expression any further without more specific information about the values of A and a. If you provide numerical values or any additional context, I can assist you further in simplifying the expression.