ГДЗ Алгебра 8 клас Істер (2025)

Спростіть вираз:

1) 49/(7-m) – m^2/(7-m) = (49- m^2)/(7-m) = ((7-m)(7+m))/(7-m) = 7 + m;
2) (x+7)/(x^2- 1) – 6/(x^2- 1) = (x+7-6)/(x^2- 1) = (x+1)/((x-1)(x+1)) = 1/(x-1);
3) (5x-2)/(x^2- y^2 ) – (5y-2)/(x^2- y^2 ) = (5x-2-(5y-2))/(x^2- y^2 ) = (5x-2-5y+2)/(x^2- y^2 ) = (5x-5y)/(x^2- y^2 ) = (5(x-y))/((x-y)(x+y)) = 5/(x+y);
4) (3a-4b)/((a-b)^2 ) + (2a-b)/((a-b)^2 ) = (3a-4b+2a-b)/((a-b)^2 ) = (5a-5b)/((a-b)^2 ) = (5(a-b))/((a-b)^2 ) = 5/(a-b).