ГДЗ Алгебра 8 клас Істер (2025)

Виконайте дію:

1) (a-2)/(2(a+1)) + a/(a+1) = (a-2+2a)/(2(a+1)) = (3a-2)/(2a+2);
2) m/(4(a+b)) – 3m/(5(a+b)) = (5m-12m)/(20(a+b)) = (-7m)/(20(a+b)) = –7m/(20a+20b);
3) (a-2)/(2a+6) – (a+1)/(3a+9) = (a-2)/(2(a+3)) – (a+1)/(3(a+3)) = (3(a-2)-2(a+1))/(6(a+3)) = (3a-6-2a-2)/(6(a+3)) = (a-8)/(6a+18);
4) 4/(ax-ay) + 5/(bx-by) = 4/a(x-y) + 5/(b(x-y)) = (4b+5a)/(ab(x-y));
5) 5/x – 30/(x(x+6)) = (5(x+6)- 30)/(x(x+6)) = (5x+30-30)/(x(x+6)) = 5x/(x(x+6)) = 5/(x+6);
6) 6/(x^2+ 3x) – 2/x = 6/(x(x+3)) – 2/x = (6-2(x+3))/(x(x+3)) = (6-2x-6)/(x(x+3)) = (-2x)/(x(x+3)) = –2/(x+3).