ГДЗ Алгебра 8 клас Мерзляк (2025)

Виконайте додавання або віднімання дробів:

1) a/(a-2) – (3a+1)/(3a-6) = a^(\3)/(a-2) – (3a+1)/(3(a-2)) = (3a-(3a+1))/(3(a-2)) = (3a-3a-1)/(3(a-2)) = (-1)/(3(a-2)) = 1/(3a-6) = 1/(6-3a);
2) 18/(b^2+3b) – 6/b = 18/(b(b+3)) – 6^(\b+3)/b = (18-6(b+3))/(b(b+3)) = (18-6b-17)/(b(b+3)) = (-6b)/(b(b+3() = –6/(b+3);
3) 2/(c+2) – (c-1)/(c^2+ c) = 2^(\c+1)/(c+2) – (c-2)/(c(c+1)) = (2c-(c-1))/(c(c+1)) = (2c- c+1)/(c(c+1)) = (c+1)/(c(c+1)) = 1/c;
4) (d-1)/(2d-8) + d/(d-4) = (d-1)/(2(d-4)) + d^(\2)/(d-4) = (d-1+2d)/(3(d-4)) = (3d-1)/(2d-8);
5) (m+1)/(3m-15) – (m-1)/(2m-10) = (m+1^(\2) )/(3(m-5)) – (m-1^(\3) )/(2(m-5)) = (2(m+1)-3(m-1))/(6(m-5)) = (2m+2-3m+3)/(6(m-5)) = (-m+5)/(6(m-5() = (-(m-5))/(6(m-5)) = –1/6;
6) (3x-4y)/(x^2-2xy) – (3y- x)/(xy-2y^2 ) = (3x-4y^(\y))/(x(x-2y)) – (3y- x^(\x))/(y(x-2y)) = (y(3x-4y)- x(3y- x))/(xy(x-2y)) = (3xy-4y^2-3xy+ x^2)/(xy(x-2y)) = (x^2-4y^2)/(xy(x-2y)) = ((x-2y)(x+2y))/(xy(x-2y)) = (x+2y)/xy.