ГДЗ Математика 8 клас Істер (2025) - 1 ЧАСТИНА

Спростіть вираз:

1) (3m-7)/12m + (13-5m)/12m – (6m-2)/12m = (3m-7+13-5m-6m+2)/12m = (8-8m)/12m = (8(1- m))/12m = (2(1- m))/3m;
2) (m^2+ 1)/(a(m-1)) – 2/(a(m-1)) = (m^2+ 1-2)/(a(m-1)) = (m^2- 1)/(a(m-1)) = ((m-1)(m+1))/(a(m-1)) = (m+1)/a;
3) (x-8)/(x^2- 25) + 13/(x^2- 25) = (x-8+13)/(x^2- 25) = (x+5)/(x^2- 25) = (x+5)/((x-5)(x+5)) = 1/(x-5);
4) (a-4)/(a-2) – 2/(2- a) = (a-4)/(a-2) + 2/(a-2) = (a-4+2)/(a-2) = (a-2)/(a-2) = 1.