ГДЗ Математика 8 клас Істер (2025) - 1 ЧАСТИНА

Виконайте дію:

1) x^2/(x-5) – 25/(x-5) = (x^2- 25)/(x-5) = ((x-5)(x+5))/(x-5) = x + 5;
2) 36/(y+6) – y^2/(y+6) = (36- y^2)/(y+6) = ((6-y)(6+y))/(6+y) = 6 – y;
3) (x-3)/(x^2- 9) + 6/(x^2- 9) = (x-3+6)/(x^2- 9) = (x+3)/(x^2- 9) = (x+3)/((x-3)(x+3)) = 1/(x-3);
4) (7a-1)/(a^2- b^2 ) – (7b-1)/(a^2- b^2 ) = (7a-1-(7b-1))/(a^2- b^2 ) = (7a-1-7b+1)/(a^2- b^2 ) = (7a-7b)/(a^2- b^2 ) = (7(a-b))/((a-b)(a+b)) = 7/(a+b);
5) (2x+y)/((x-y)^2 ) + (x-4y)/((x-y)^2 ) = (2x+y+x-4y)/((x-y)^2 ) = (3x-3y)/((x-y)^2 ) = (3(x-y))/((x-y)^2 ) = 3/(x-y);
6) (9m+5n)/((m+n)^2 ) – (m-3n)/((m+n)^2 ) = (9m+5n-(m-3n))/((m+n)^2 ) = (8m+8n)/((m+n)^2 ) = (8(m+n))/((m+n)^2 ) = 8/(m+n).