ГДЗ Алгебра 9 клас Істер НУШ

8. Подайте у вигляді дробу:

1) (a + 3b)/4 + (3a - 7b)/4 = (a + 3b + 3a - 7b)/4 = (4a - 4b)/4 = (4(a - b))/4 = a – b;
2) (m - b)/(m^2 - 1) + (b - 1)/(m^2 - 1) = (m - b + b - 1)/(m^2 - 1) = (m - 1)/((m - 1)(m + 1)) = 1/(m + 1);
3) 〖5 - 3y〗^(\x)/y – 〖2 - 3x〗^(\y)/x = (5x - 3xy - 2y + 3xy)/xy = (5x- 2y)/xy;
4) b/(b + 2) – b^2/(b^2 + 4b + 4) = b^(\b+2)/(b + 2) – b^2/〖(b + 2)〗^2 = (b^2 + 2b - b^2)/〖(b + 2)〗^2 = 2b/〖(b + 2)〗^2 ;
5) (c^2 - 2c)/5ma • 5m/(c^2 - 4) = (c(c - 2) • 5m)/(5ma(c - 2)(c + 2)) = c/(a(c + 2));
6) 〖4a〗^2/p : (–8a) = –〖4a〗^2/(p • 8a) = –a/2p.