Question

Сократить дробь : x^2+x-2/x-1

Answer 1

Ответ:(x+2)

Объяснение:х2+x-2 тоже самое, что (x-1)*(x+2). В итоге(x-1) сокращается

Answer 2

To simplify the fraction $\frac{x^2 + x - 2}{x - 1}$, we can factor the numerator and then cancel out any common factors with the denominator. Here's the step-by-step process:

Step 1: Factor the numerator $x^2 + x - 2$ The numerator can be factored as follows: $x^2 + x - 2 = (x + 2)(x - 1)$

Step 2: Simplify the fraction Now that we have factored the numerator, the fraction becomes: $\frac{(x + 2)(x - 1)}{x - 1}$

Step 3: Cancel out the common factor Since we have $(x - 1)$ in both the numerator and the denominator, we can cancel it out: $\frac{\cancel{(x + 2)}\cancel{(x - 1)}}{\cancel{x - 1}}$

Step 4: Final result The simplified fraction is: $\boxed{f(x) = x + 2}$

So, the simplified form of $\frac{x^2 + x - 2}{x - 1}$ is $x + 2$.