Карточка 1: 1) 5a/(10a²) =; 2) 6x³y/(18xy²) =; 3) (b²−9)/(b−3) =; 4) (2c−8)/(4c−16) =; 5) (m²−4m)/(m²−16) =; 6) (3n+6)/(n²+2n) =.

1. \(\dfrac{5a}{10a^2}=\dfrac{1}{2a}\).
2. \(\dfrac{6x^3y}{18xy^2}=\dfrac{x^2}{3y}\).
3. \(\dfrac{b^2-9}{b-3}=\dfrac{(b-3)(b+3)}{b-3}=b+3\).
4. \(\dfrac{2c-8}{4c-16}=\dfrac{2(c-4)}{4(c-4)}=\dfrac12\).
5. \(\dfrac{m^2-4m}{m^2-16}=\dfrac{m(m-4)}{(m-4)(m+4)}=\dfrac{m}{m+4}\).
6. \(\dfrac{3n+6}{n^2+2n}=\dfrac{3(n+2)}{n(n+2)}=\dfrac3n\).

Ответ: 1) \(\frac1{2a}\); 2) \(\frac{x^2}{3y}\); 3) \(b+3\); 4) \(\frac12\); 5) \(\frac{m}{m+4}\); 6) \(\frac3n\).