ГДЗ Алгебра 8 клас Мерзляк (2025)

Виконайте дії:

1) 2^(\x+1)/x + (3x-2^(\x))/(x+1) = (2(x+1)+ x(3x-2))/(x(x+1)) = (2x+2+3x^2-2x)/(x(x+1)) = (3x^2+2)/(x(x+1));
2) m^(\m+n)/n – m^(\n)/(m+ n) = (m(m+ n)- mn)/(n(m+ n)) = (m^2+mn- mn)/(n(m+ n)) = m^2/(mn+n^2 );
3) a^(\a+3)/(a-3) – 3^(\a-3)/(a+3) = (a(a+3)-3(a-3))/((a-3)(a+3)) = (a^2+3a-3a+9)/((a-3)(a+3)) = (a^2+9)/(a^2-9);
4) c^(\3c+1)/(3c-1) – c^(\3c-1)/(3c+1) = (c(3c+1)- c(3c-1))/((3c-1)(3c+1)) = (3c^2+ c-3c^2+ c)/((3c-1)(3c+1)) = 2c/(9c^2-1);
5) x^(\3y-2)/(2y+1) – x^(\2y+1)/(3y-2) = (x(3y-2)- x(2y+1))/((2y+1)(3y-2)) = (3xy-2x-2xy- x)/((2y+1)(3y-2)) = (xy-3x)/((2y+1)(3y-2));
6) (a-b^(\a+b))/b – (a-b^(\b) )/(a+ b) = ((a- b)(a+ b)- b(a- b))/(b(a+ b)) = (a^2-b^2-ab+ b^2)/(b(a+ b)) = (a^2- ab)/(ba+b^2 ).