ГДЗ Алгебра 8 клас Мерзляк (2025)

Спростіть вираз:

1) 2/m – 16/(m^2+8m) = 2^(\m+8)/m – 16/(m(m+8)) = (2(m+8)-16)/(m(m+8)) = (2m+16-16)/(m(m+8)) = 2m/(m(m+8)) = 2/(m+8);
2) (a-2)/(2a-6) – (a-1)/(3a-9) = (a-2^(\3) )/(2(a-3)) – (a-1^(\2) )/(3(a-3)) = (3(a-2)-2(a-1))/(6(a-3)) = (3a-6-2a+2)/(6(a-3)) = (a-4)/(6a-18);
3) (a^2+ b^2)/(2a^2+2ab) + b/(a+ b) = (a^2+ b^2)/(2a(a+ b)) + b^(\2a)/(a+ b) = (a^2+b^2+2ab )/(2a(a+ b)) = ((a+ b)^2)/(2a(a+ b)) = (a+ b)/2a;
4) (b+4)/(ab- b^2 ) – (a+4)/(a^2-ab) = (b+ 4^(\a))/(b(a- b)) – (a+4^(\b) )/(a(a- b)) = (ab+4a- ab-4b)/(ab(a- b)) = (4a-4b)/(ab(a- b)) = (4(a- b))/(ab(a- b)) = 4/ab.