ГДЗ Алгебра 8 клас Мерзляк (2025)

Спростіть вираз:

1) c^2/(c-9) – 81/(c-9) = (c^2- 81)/(c-9) = ((c-9)(c+9))/(c-9) = (c+9)/1 = c + 9;
2) a^2/((a-6)^2 ) – 36/((a-6)^2 ) = (a^2- 36)/((a-6)^2 ) = ((a-6)(a+6))/((a-6)(a-6)) = (a+6)/(a-6);
3) (3x+5)/(x^2- 4) – (2x+7)/(x^2- 4) = ((3x+5)- (2x+7))/(x^2- 4) = (3x+5-2x-7)/(x^2- 4) = (x-2)/((x-2)(x+2)) = 1/(x+2);
4) y^2/(y-2) – (4y-4)/(y-2) = (y^2- (4y-4))/(y-2) = (y^2- 4y+4)/(y-2) = ((y-2)^2)/(y-2) = (y-2)/1 = y – 2.