ГДЗ Алгебра 8 клас Мерзляк (2025)

Скоротіть дріб:

1) (3m-3n)/(7m-7n) = (3(m-n))/(7(m-n)) = 3/7;
2) (5a+25b)/(2a^2+ 10ab) = (5(a+5b))/(2a(a+5b)) = 5/2a;
3) (4x-16y)/16y = (4(x-4y))/16y = (x-4y)/4y;
4) (x^2- 49)/(6x+42) = ((x -7)(x+7))/(6(x+7)) = (x-7)/6;
5) (12a^2- 6a)/(3-6a) = (6a(2a-1))/(-3(2a-1)) = –2a;
6) (9b^2- 1)/(9b^2+ 6b+1) = (3b-1)(3b+1))/((3b+1)^2 ) = ((3b-1)(3b+1))/((3b+1)(3b+1)) = (3b-1)/(3b+1);
7) (b^5- b^4)/(b^5- b^6 ) = (b^4 (b-1))/(-b^5 (b-1)) = –1/b;
8) (7m^2+ 7m+1)/(m^3- 1) = (7(m^2+ m+1))/((m-1)(m^2+ m+1)) = 7/(m-1);
9) (64- x^2)/(3x^2- 24x) = (-(x^2- 64))/(3x(x-8)) = –((x-8)(x+8))/(3x(x-8)) = –(x+8)/3x.