ГДЗ Алгебра 8 клас Тарасенкова (2025)

Скоротіть дріб:

1) (〖7x〗^3-〖7x〗^2 )/(x^2- x) = (〖7x〗^2 (x-1))/(x(x-1)) = 7x;
2) (〖4y〗^3-〖8y〗^2 )/(〖2y〗^5- y^6 ) = (〖4y〗^2 (y-2))/(y^5 (2- y)) = –(〖4y〗^2 (y-2))/(y^5 (y-2)) = –4/y^3 ;
3) (〖3a〗^3+ 〖9a〗^5)/(a^2+〖3a〗^4 ) = (〖3a〗^3 (1+ 〖3a〗^2))/(a^2 (1+ 〖3a〗^2)) = 3a;
4) (〖3x〗^2-x^3 )/(9x- 〖3x〗^2 ) = (x^2 (3- x))/(3x(3- x)) = x/3;
5) (y^3-5y)/(〖5y〗^2- y^4 ) = (〖y(y〗^2-5))/(y^2 (5- y^2)) = –(y^2-5)/(〖y(y〗^2-5)) = –1/y;
6) (〖9a〗^6- 〖9a〗^5)/(a^3- a^4 ) = (〖9a〗^5 (a-1))/(a^3 (1- a)) = –(〖9a〗^5 (a-1))/(a^3 (a-1)) = –9a2.