ГДЗ Алгебра 8 клас Мерзляк (2025)

Спростіть вираз:

1) ((9m^2- 3mn+ n^2 )^(\3m+n))/(3m-n) – ((9m^2+ 3mn+ n^2 )^(\3m-n))/(3m+n) = ((3m+n)(9m^2- 3mn+ n^2 )- (3m-n)(9m^2+ 3mn+ n^2))/((3m-n)(3m+n)) = (((3m)^3+ n^3 )- (3m)^3- n^3))/((3m-n)(3m+n)) = (27m^3+ n^3- 27m^3+ n^3)/((3m-n)(3m+n)) = (27m^3+ n^3- 27m^3+ n^3)/((3m-n)(3m+n)) = (2n^3)/(9m^2- n^2 );
2) 1^(\8b^3+1) – (2b-1^(\2b+1) )/(4b^2- 2b+1) – (2b^(4b^2-2b+1))/(2b+1) = (8b^3+ 1-(2b-1)(2b+1)- 2b(4b^2- 2b+1))/((2b+1)(4b^2- 2b+1)) = (2-2b)/(8b^3- 1).