ГДЗ Алгебра 8 клас Мерзляк (2025)

Подайте у вигляді дробу вираз:

1) 1 – a + (a^2- 2)/(a+2) = (1- a^(\a+2))/2 + (a^2- 2)/(a+2) = ((a+2)(1-a)+ (a^2- 1))/(a+2) = (a- a^2+ 2-2a+ a^2- 2)/(a+2) = (-a)/(a+2) = –a/(a+2);
2) (a^2- b^2)/(3a+b) + (3a – b) = (a^2- b^2)/(3a+b) + (3a- b^(\3a+b))/1 = (a^2- b^2+ (3a+b)(3a-b))/(3a+b) = (a^2- b^2+ 9a^2- b^2)/(3a+b) = (10a^2- 2b^2)/(3a+b);
3) (c^2+ 9)/(c-3) – c – 3 = (c^(2 )+ 9)/(c-3) – (c + 3) = (c^2+ 9^(\1))/(c-3) + (c + 3^(\c-3))/1 = (c^2+ 9-(c-3)(c+3))/(c-3) = (c^2+ 9-(c^2- 9))/(c-3) = (c^2+ 9- c^2+ 9)/(c-3) = 18/(c-3);
4) (8m^2)/(4m-3) – 2m – 1 = (8m^2)/(4m-3) – (2m + 1) = (8m^2)/(4m-3) – (2m+ 1^(\4m-3))/1 = (8m^2- (2m+1)(4m-3))/(4m-3) = (8m^2- (2m^2- 6m+4m-3))/(4m-3) = (8m^2- 2m^2+ 2m+3)/(4m-3) = (6m^2+ 2m+3)/(4m-3).