Question

Помогите пожайлуста я сломал ногу и сижу дома пропустил темы а мне дали тесты а я незнаю как делать, только подробно распишите плизз сократите дробь x^2-x/x^2-1

Answer 1

Поэтапно выносим общий множитель в числителе и применяем формулу сокращенного умножения в знаменателе x (x-1)/((x-1)(x+1))=x/(x+1)

Answer 2

Simplifying the Fraction x^2 - x / x^2 - 1

To simplify the fraction (x^2 - x) / (x^2 - 1), we can factor the numerator and denominator and then cancel out any common factors.

Let's start by factoring the numerator and denominator separately:

Numerator: x^2 - x - We can factor out an x from both terms: x(x - 1).

Denominator: x^2 - 1 - This is a difference of squares, which can be factored as (x + 1)(x - 1).

Now that we have factored the numerator and denominator, we can cancel out any common factors. In this case, we can cancel out the (x - 1) term:

[(x^2 - x) / (x^2 - 1)] = [x(x - 1) / (x + 1)(x - 1)]

After canceling out the common factor (x - 1), we are left with:

[x / (x + 1)]

So, the simplified form of the fraction (x^2 - x) / (x^2 - 1) is x / (x + 1).

I hope this helps! Let me know if you have any further questions.