ГДЗ Алгебра 8 клас Мерзляк (2025)

Виконайте дії:

1) x/(y-1) + 2/(1-y) = x/(y-1) + 2/(-(y-1)) = x/(y-1) – 2/(y-1) = (x-2)/(y-1);
2) 3c/(c-d) + 3d/(d-c) = 3c/(c-d) + 3d/(-(c-d)) = 3c/(c-d) – 3d/(c-d) = (3c-3d)/(c-d) = (3(c-d))/(c-d) = 3;
3) (3m+2n)/(2m-3n) – (m-8n)/(3n-2m) = (3m+2n)/(2m-3n) – (m-8n)/(-(2m-3n)) = (3m+2n)/(2m-3n) + (m-8n)/(2m-3n) = (3m+2n+m-8n)/(2m-3n) = (4m-6n)/(2m-3n) = (2(2m-3n))/(2m-3n) = 2;
4) b^2/(2b-14) + 49/(14-2b) = b^2/(2b-14) + 49/(-(2b-14)) = b^2/(2b-14) – 49/(2b-14) = (b^2- 49)/(2b-14) = ((b-7)(b+7))/(2(b-7)) = (b+7)/2.