ГДЗ Алгебра 8 клас Мерзляк (2025)

Спростіть вираз:

1) a^2/(a+3) – 9/(a+3) = (a^2- 9)/(a+3) = ((a-3)(a+3))/(a+3) = (a-3)/1 = a – 3;
2) t/(t^2- 16) – 4/(t^2- 16) = (t-4)/(t^2- 16) = (t-4)/((t-4)(t+4)) = 1/(t+4);
3) m^2/((m-5)^2 ) – 25/((m-5)^2 ) = (m^2- 25)/((m-5)^2 ) = ((m-5)(m+5))/((m-5)(m-5)) = (m+5)/(m-5);
4) (5x+9)/(x^2- 1) – (4x+8)/(x^2- 1) = ((5x+9)- (4x+8))/(x^2- 1) = (5x+9-4x-8)/(x^2- 1) = (x+1)/((x-1)(x+1)) = 1/(x-1);
5) b^2/(b+10) + (20b+100)/(b+10) = (b^2+ 20b+100)/(b+10) = ((b+10)^2)/(b+10) = b + 10;
6) c^2/(c-7) – (14c-49)/(c-7) = (c^2-(14c-49))/(c-7) = (c^2- 14c+49)/(c-7) = ((c-7)^2)/((c-7)) = c – 7.