ГДЗ Алгебра 8 клас Мерзляк (2025)

Спростіть вираз:

1) 1^(\a)/(b(a- b)) – 1^(\b)/(a(a- b)) = (a- b)/(ab(a- b)) = 1/ab;
2) 5^(\a-6)/a + 30/(a(a-6)) = (5(a-6)+30)/(a(a-6)) = (5a-30+30)/(a(a-6)) = 5a/(a(a-6)) = 5/(a-6);
3) 3^(\x)/(x-2) – (2x+2)/(x(x-2)) = (3x-(2x+2))/(x(x-2)) = (3x-2x-2)/(x(x-2)) = (x-2)/(x(x-2)) = 1/x;
4) y^(\5)/(2(y+3)) – y^(\2)/(5(y+3)) = (5y-2y)/(10(y+3)) = 3y/(10(y+3));
5) (5m+3^(\3) )/(2(m+1)) – (7m+ 4^(\2))/(3(m+1)) = (3(5m+3( -2(7m+4))/(6(m+1)) = (15m+9-14m-8)/(6(m+1)) = (m+1)/(6(m+1)) = 1/6;
6) (c-a^(\b) )/(a(a+ b)) + (c+b^(\a) )/(b(a+ b)) = (b(c- a)+ a(c+ b))/(ab(a+ b)) = (bc- ba+ ac+ ab)/(ab(a+ b)) = (bc+ ac)/(ab(a+ b)) = (c(a+ b))/(ab(b+ a)) = c/ab.