36. Сократите дробь: 1) a(x + 2)/(b(x + 2)); 2) 4(a − 6)²/(a − 6)³; 3) c³(c − 4)⁵/[c⁶(c − 4)³]; 4) (2a + 2b)/[7(a + b)]; 5) (7x − 21y)/(5x − 15y); 6) (4a − 20b)/(12ab); 7) (6x + 12)/(6x); 8) (a − 5b)/(a² − 5ab); 9) (y² − 25)/(10 + 2y); 10) (a² + 4a + 4)/(9a + 18); 11) (c² − 6c + 9)/(c² − 9); 12) (m³ + 1)/(m² − m + 1).

Question

Вопрос:

Accepted Answer

Сократим общий множитель: \(\frac{a(x+2)}{b(x+2)}=\frac{a}{b}\).
\(\frac{4(a-6)^2}{(a-6)^3}=\frac{4}{a-6}\).
\(\frac{c^3(c-4)^5}{c^6(c-4)^3}=\frac{(c-4)^2}{c^3}\).
\(\frac{2a+2b}{7(a+b)}=\frac{2(a+b)}{7(a+b)}=\frac{2}{7}\).
\(\frac{7x-21y}{5x-15y}=\frac{7(x-3y)}{5(x-3y)}=\frac{7}{5}\).
\(\frac{4a-20b}{12ab}=\frac{4(a-5b)}{12ab}=\frac{a-5b}{3ab}\).
\(\frac{6x+12}{6x}=\frac{6(x+2)}{6x}=\frac{x+2}{x}\).
\(\frac{a-5b}{a^2-5ab}=\frac{a-5b}{a(a-5b)}=\frac{1}{a}\).
\(\frac{y^2-25}{10+2y}=\frac{(y-5)(y+5)}{2(y+5)}=\frac{y-5}{2}\).
\(\frac{a^2+4a+4}{9a+18}=\frac{(a+2)^2}{9(a+2)}=\frac{a+2}{9}\).
\(\frac{c^2-6c+9}{c^2-9}=\frac{(c-3)^2}{(c-3)(c+3)}=\frac{c-3}{c+3}\).
\(\frac{m^3+1}{m^2-m+1}=\frac{(m+1)(m^2-m+1)}{m^2-m+1}=m+1\).

Ответ: