ГДЗ Алгебра 8 клас Тарасенкова (2025)

Скоротіть дріб:

1) (x^4-x^2 )/(x^4+ x^3 ) = (x^2 (x^2-1))/(x^3 (x+2)) = ((x-1)(x+1))/(x(x+1)) = (x-1)/x;
2) (y^3-16y)/(〖4y〗^2+ y^3 ) = (〖y(y〗^2-16)/(y^2 (4+ y)) = (y(y-4)(y+4))/(y^2 (y+4)) = (y-4)/y;
3) (a^2- 〖9b〗^2)/(2a+6b) = ((a-3b)(a+3b))/(2(a+3b)) = (a-3b)/2;
4) (〖4x〗^4-x^2 )/(6x+3) = (x^2 (〖4x〗^2-1))/(3(2x+1)) = (x^2 (2x-1)(2x+1))/(3(2x+1)) = (x^2 (2x-1))/3;
5) (a^3-〖25ab〗^2 )/〖ab-5b〗^2 = (〖a(a〗^2-〖25b〗^2) )/(b(a-5b)) = (a(a-5b)+a+5b))/(b(a-5b)) = (a(a+5b))/b;
6) (〖4a〗^3- 〖9ac〗^2)/〖2ac+3c〗^2 = (〖a(4a〗^2-〖9c〗^2) )/(c(2a+3c)) = (a(2a-3c)(2a+3c) )/(c(2a+3c)) = (a(2a-3c))/c.