Сократите дробь: 1) a) $$rac{15a}{25b}$$; б) $$rac{15a + 15c}{25b}$$; в) $$rac{5a \cdot 5b}{10c}$$; г) $$rac{5a - 5b}{10c}$$; д) $$rac{a^5 \cdot a^3}{a^{10}}$$; е) $$rac{a^5 + a^3}{a^{10}}$$; ж) $$rac{a^5 + a^3}{a^6 + a^4}$$

1) a) $$rac{15a}{25b} = \frac{3a}{5b}$$ б) $$rac{15a + 15c}{25b} = \frac{15(a+c)}{25b} = \frac{3(a+c)}{5b}$$ в) $$rac{5a \cdot 5b}{10c} = \frac{25ab}{10c} = \frac{5ab}{2c}$$ г) $$rac{5a - 5b}{10c} = \frac{5(a-b)}{10c} = \frac{a-b}{2c}$$ д) $$rac{a^5 \cdot a^3}{a^{10}} = \frac{a^{5+3}}{a^{10}} = \frac{a^8}{a^{10}} = \frac{1}{a^2}$$ е) $$rac{a^5 + a^3}{a^{10}} = \frac{a^3(a^2 + 1)}{a^{10}} = \frac{a^2 + 1}{a^7}$$ ж) $$rac{a^5 + a^3}{a^6 + a^4} = \frac{a^3(a^2 + 1)}{a^4(a^2 + 1)} = \frac{1}{a}$$