ГДЗ Алгебра 8 клас Тарасенкова (2025)

Скоротіть дріб:

1) (x^3-〖2x〗^3+ x )/(x^3- x^2 ) = (〖x(x〗^2-2x+1))/(x^2 (x-1)) = 〖x(x-1)〗^2/(x^2 (x-1)) = (x-1)/x;
2) (y^4-〖4y〗^2 )/(y^3+ 〖4y〗^2+4y) = (y^2 (y^2-4))/(〖y(y〗^2+4y+4)) = (y^2 (y-2)(y+2))/〖y(y+2)〗^2 = (y(y-2))/(y+2);
3) (a^3-〖16ab〗^2 )/(a^2 b+〖8ab〗^2+ 〖16b〗^3 ) = (〖a(a〗^2-〖16b〗^2) )/(b(a^2+8ab+〖16b〗^2) ) = (a(a-4b)(a+4b))/〖b(a+4b)〗^2 = (a(a-4b))/(b(a+4b));
4) (c^4-〖6c〗^3+〖9c〗^2 )/〖9c- c〗^3 = (c^2 (c^2-6c+9))/(〖c(9- c〗^2)) = (c^2 〖(c-3)〗^2)/(c(3- c)(3+ c)) = 〖c(3- c)〗^2/((3- c)(3+ c)) = (c(3- c))/(3+ c).