Вопрос:

1. Сократите дробь: а) x(a + 3)/(y(a + 3)); б) 3(x + 5)²/(x + 5)³; в) 3a(b − 2)/(6(b − 2)²); г) x²(x − 8)³/(x⁴(x − 8)²).

Ответ:

  1. \(\dfrac{x(a+3)}{y(a+3)}=\dfrac{x}{y}\).
  2. \(\dfrac{3(x+5)^2}{(x+5)^3}=\dfrac{3}{x+5}\).
  3. \(\dfrac{3a(b-2)}{6(b-2)^2}=\dfrac{a}{2(b-2)}\).
  4. \(\dfrac{x^2(x-8)^3}{x^4(x-8)^2}=\dfrac{x-8}{x^2}\).

Ответ: а) \(\dfrac{x}{y}\); б) \(\dfrac{3}{x+5}\); в) \(\dfrac{a}{2(b-2)}\); г) \(\dfrac{x-8}{x^2}\).