ГДЗ Алгебра 8 клас Мерзляк (2025)

Зведіть до спільного знаменника дроби:

1) 4^(\2x)/(15x^2 y^2 ) i 1^(\3y)/(10x^3 y); 8x/(30x^3 y^2 ) i 3y/(30x^3 y^2 );
2) c^(\3)/(6a^4 b^5 ) i d^(\2a^2 b^3 )/(9ab^2 ); 3c/(18a^4 b^5 ) i (2da^3 b^3)/(18a^4 b^5 );
3) x/(y-5) i z/(y^2- 25); x^(\y+5)/(y-5) i z^(\1)/((y-5)(y+5)); (xy+5x)/((y-5)(y+5)) i z/((y-5)(y+5));
4) (m+n)/(m^2- mn) i (2m-3n)/(m^2- n^2 ); (m+ n^(\m+n))/(m(m-n)) i (2m-3n^(\m))/((m-n)(m+n)); (m^2+ 2mn+ n^2)/(m(m-n)(m+n)) i (2m^2- 3mn)/(m(m-n)(m+n));
5) (x+ y^(\y))/(x^2- xy) i (y- 1^(\x))/(xy- y^2 ); (yx+ y^2)/(x(x-y)) i (xy-x)/(y(x-y));
6) (6a^(\a+b))/(a-2b) i (3a^(\a-2b))/(a+b); (6a(a+b))/((a-2b)(a+b)) i (3a(a-2b))/((a-2b)(a+b)); (6a^2+ 6ab)/((a-2b)(a+b)) i (3a^2- 6ab)/((a-2b)(a+b));
7) (1+ c^2)/(c^2- 16) i c/(4-c); (1+ c^(2\-1))/((c-4)(c+4)) i c^(\c+4)/(-(c-4)); (-1- c^2)/(-(c-4)(c+4)) i (c^2+ 4c)/(-c(c-4)(c+4));
8) (2m+ 9^(m-5))/(m^2+ 5m+24) i m^(\m^2+ 5m+24)/(m-5); ((2m+9)(m-5))/((m-5)(m^2+ 5m+25)) i (m(m^2+ 5m+24))/((m-5)(m^2+ 5m+25)); (2m^2+9m-10m-45 )/((m-5)(m^2+ 5m+25)) i (m^3+ 5m^2+ 24m)/((m-5)(m^2+ 5m+25)); (〖2m〗^2- m-45)/(m^3- 125) i (m^3+ 5m^2+24m)/(m^3- 125).