16. Сократите дробь: а) a(x−2)/(b(x−2)); б) 4(c+3)²/(c+3)³; в) 5y(b−7)/(10(b−7)²); г) p³(q−1)⁴/(p⁶(q−1)²); д) (2x−2b)/(3(x−b)); е) (5a−10y)/(2a−4y).

Question

Accepted Answer

\(\frac{a(x-2)}{b(x-2)}=\frac ab\), \(x\ne2,\ b\ne0\).
\(\frac{4(c+3)^2}{(c+3)^3}=\frac4{c+3}\), \(c\ne-3\).
\(\frac{5y(b-7)}{10(b-7)^2}=\frac{y}{2(b-7)}\), \(b\ne7\).
\(\frac{p^3(q-1)^4}{p^6(q-1)^2}=\frac{(q-1)^2}{p^3}\), \(p\ne0,\ q\ne1\).
\(\frac{2x-2b}{3(x-b)}=\frac{2(x-b)}{3(x-b)}=\frac23\), \(x\ne b\).
\(\frac{5a-10y}{2a-4y}=\frac{5(a-2y)}{2(a-2y)}=\frac52\), \(a\ne2y\).

Ответ: \(\frac ab;\ \frac4{c+3};\ \frac{y}{2(b-7)};\ \frac{(q-1)^2}{p^3};\ \frac23;\ \frac52\).