ГДЗ Математика 8 клас Істер (2025) - 1 ЧАСТИНА

Виконайте дію:

1) (m-1)/(3(m+2)) + m/(m+2) = (m-1+3m)/(3(m+2)) = (4m-1)/(3(m+2));
2) 7a/(3(b+2a)) – 4a/(9(b+2a)) = (21a-4a)/(9(b+2a)) = 17a/(9(b+2a));
3) (x-2)/(3x-12) – (x+1)/(2x-8) = (x-2)/(3(x-4)) – (x+1)/(2(x-4)) = (2x-4-3x-3)/(6(x-4)) = (-x-7)/(6(x-4)) = –(x+7)/(6(x-4)) = (x+7)/(24-6x);
4) 3/(mx+my) + 2/(nx+ny) = 3/(m(x+y)) + 2/(n(x+y)) = (3n+2m)/(mn(x+y));
5) 4/a – 8/(a(a+2)) = (4(a+2)- 8)/(a(a+2)) = (4a+8-8)/(a(a+2)) = 4a/(a(a+2)) = 4/(a+2);
6) 8/(m^2+ 8m) – 1/m = 8/(m(m+8)) – 1/m = (8-(m+8))/(m(m+8)) = (8-m-8)/(m(m+8)) = (-m)/m(m+8) = –1/(m+8).