va rog frumos!sa ma ajutati!​

1)x² - x / x² - 6x + 5 = x / x - 5

2)x² - 4 / x² + x - 6 = x + 2 / x + 3

3) - x² + 9x - 18 / x² + 6x - 27 = 6 - x / x + 9

4)4x² + 8x - 12 / x² - 6x + 5 = 4x + 12 / x - 5

5)6x² + 7x - 3 / 2x² - x - 6 = 3x - 1 / x - 2

6)3x² + 6x / x² + 4x + 4 = 3x / x + 2

Răspuns:

Explicație pas cu pas:

1) (x²-x)/(x²-6x+5)=x(x-1)/(x-1)(x-5)=x/(x-5)

2)(x²-4)/(x²+x-6)=(x-2)(x+2)/(x+3)(x-2)=(x+2)/(x+3)

3)(-x²+9x-18)/(x²+6x-27)=-(x-6)(x-3)/(x-3)(x+9)=-(x-6)/(x-9)

4)4(x²+2x-3)/(x-1)(x-5)=4(x+1)(x-3)/(x-1)(x-5)

5)(6x²+7x-3)/(2x²-x-6)=(x+3/2)(x-1/3)/(x-2)(x+3/2)=(x-1/3)/(x-2)

6)3x(x+2)/(x+2)²=3x/(x+2)