Question

Упростите: (5/x-2 - x - 2) * 2-x / x^2 - 6x + 9

Answer 1

Ответ:

9/x+1+4*x

Пошаговое объяснение:

1.  (5/x-4-x) * 2-x/x2+6*x+9

3. 10/x-8-x*2-x^ (-1) + 6*x+9

4. 10/x-8-x*2-1/x+6*x+9

5. 9/x-8-x*2+6*x+9

6. 9/x-8+4*x+9

7. 9/x+1+4*x

Answer 2

I can help you with math problems. To simplify the expression, we need to follow these steps:

1. Expand the brackets by multiplying each term inside by the term outside. 2. Combine the like terms by adding or subtracting the coefficients. 3. Factor the denominator by finding the common factors of the quadratic expression. 4. Cancel out any common factors in the numerator and denominator.

Here is the detailed solution:

$$ \begin{aligned} &(5/x-2 - x - 2) * (2-x) / (x^2 - 6x + 9) \\ =& (5/x-2) * (2-x) - (x+2) * (2-x) / (x^2 - 6x + 9) \\ =& (10/x - 10 - 5x + 2x^2) - (2x + 4 - x^2 - 2x) / (x^2 - 6x + 9) \\ =& (2x^2 - 5x + 10/x - 10) - (-x^2 + 4) / (x^2 - 6x + 9) \\ =& (3x^2 - 5x + 10/x - 14) / (x^2 - 6x + 9) \\ =& (3x^2 - 5x + 10/x - 14) / ((x-3)(x-3)) \\ =& (3x^2 - 5x + 10/x - 14) / (x-3)^2 \end{aligned} $$

The final answer is $$\frac{3x^2 - 5x + 10/x - 14}{(x-3)^2}$$ Ответь+подробно.++Упростите:+(5/x-2+-+x+-+2)+*+2-x+/+x^2+-+6x+++9+