Номер 1.

1) x - любое число, кроме 0.

2) a - любое число, кроме 3.

3) c - любое число, кроме -0,2.

4) y - любое число.

5) b - любое число.

6) x - любое число, кроме 4 и -4.

7) a - любое число, кроме 2 и -11.

Номер 2.

1) 2a/3a = 2/3

2) 2b/2c = b/c

3) ab/ac = b/c

4) abc/ayc = b/y

5) (a² - ab)/ac = (a(a - b))/ac = (a-b)/c

6) (a² - ab)/(a² + ab) = (a(a - b))/(a(a + b)) = (a-b)/(a+b)

7) (a² - ab)/(a² - b²) = (a(a - b))/((a - b)(a + b)) = a/(a + b)

8) (a² + ab)/(a² - b²) = (a(a + b))/((a - b)(a + b)) = a/(a - b)

9) x²/(x² - x) = x²/(x(x - 1)) = x/(x - 1)

10) (x² - 1)/(x² - x) = ((x - 1)(x + 1))/(x(x - 1)) = (x + 1)/x

11) x²/(x² + x) = x²/(x(x + 1)) = x/(x + 1)

12) (x² - 1)/(x² + x) = ((x - 1)(x + 1))/(x(x + 1) = (x - 1)/x

13) a/am = 1/m

14) (a - 3b)/(a² - 9b²) = (a - 3b)/((a - 3b)(a + 3b)) = 1/(a + 3b)

15) pq/q = p

16) (m² - 4n²)/(m + 2n) = ((m - 2n)(m + 2n))/(m + 2n) = m - 2n

17) (a² - 2ab + b²)/(a - b) = ((a - b)²)/(a - b) = a - b

18) (a² + 4ab + 4b²)/(a + 2b) = ((a + 2b)²)/(a + 2b) = a + 2b

19) (a² - 2ab + b²)/(a² - b²) = ((a - b)²)/((a - b)(a + b)) = (a - b)/(a + b)

20) (a² + 4ab + 4b²)/(a² - 4b²) = ((a + 2b)²)/((a - 2b)(a + 2b)) = (a + 2b)/(a - 2b)

21) (2a(3a - p))/(2p - 6a) = (2a(3a - p)/(2(p - 3a) = - (2a(3a - p)/(2(3a - p) = -a

22) (2a(3a - p))/(6a - 2p) = (2a(3a - p))/(2(3a - p)) = a

23) (a² - 9c²)/(3c + a) = ((a - 3c)(a + 3c))/(3c + a) = a - 3c

24) (a² - 9c²)/(3c - a) = ((a - 3c)(a + 3c))/(3c - a) = - ((a - 3c)(a + 3c))/(a - 3c) = - (a + 3c) = -a - 3c