37. Сократите дробь:

37. Сократите дробь:

1) \( \frac{a - b}{2(b - a)} = \frac{a - b}{-2(a - b)} = - \frac{1}{2} \)

2) \( \frac{3x - 6y}{4y - 2x} = \frac{3(x - 2y)}{-2(x - 2y)} = - \frac{3}{2} \)

3) \( \frac{m^2 - 5mn}{15n - 3m} = \frac{m(m - 5n)}{3(5n - m)} = \frac{m(m - 5n)}{-3(m - 5n)} = - \frac{m}{3} \)

4) \( \frac{7a^4 - a^3b}{b^4 - 7ab^3} = \frac{a^3(7a - b)}{b^3(b - 7a)} = \frac{a^3(7a - b)}{-b^3(7a - b)} = - \frac{a^3}{b^3} \)

5) \( \frac{x^2 - 25}{5x^2 - x^3} = \frac{(x - 5)(x + 5)}{x^2(5 - x)} = \frac{(x - 5)(x + 5)}{-x^2(x - 5)} = - \frac{x + 5}{x^2} \)

6) \( \frac{y^2 - 12y + 36}{36 - y^2} = \frac{(y - 6)^2}{(6 - y)(6 + y)} = \frac{(y - 6)^2}{-(y - 6)(6 + y)} = - \frac{y - 6}{y + 6} = \frac{6 - y}{6 + y} \)

7) \( \frac{b^5 - b^4}{b^5 - b^6} = \frac{b^4(b - 1)}{b^5(1 - b)} = \frac{b^4(b - 1)}{-b^5(b - 1)} = - \frac{1}{b} \)

8) \( \frac{7m^2 + 7m + 7}{m^3 - 1} = \frac{7(m^2 + m + 1)}{(m - 1)(m^2 + m + 1)} = \frac{7}{m - 1} \)

9) \( \frac{64 - x^2}{3x^2 - 24x} = \frac{(8 - x)(8 + x)}{3x(x - 8)} = \frac{-(x - 8)(8 + x)}{3x(x - 8)} = - \frac{x + 8}{3x} \)