а) (24a^4/b^3)(b^4/8a^4)
Решение:
= (24a^4b^4)/(8a^4*b^3)
= 3b/1
= 3b

б) (7xy^2/2)/(14x^2 y^2)
Решение:
= (7xy^2/2)*(1/(14x^2 y^2))
= 7xy^2/28x^2 y^2
= 1/4x

в) (m+2n/m-n)(m^2-n^2/5m+10n)
Решение:
= ((m+2n)/(m-n))((m+n)(m-n)/(5m+10n))
= ((m+2n)/(m-n))*((m^2-n^2)/(5(m+2n)))
= (m^2+2mn-n^2)/5m+10n

г) (x^2-2x+1/x^2-25):(x-1/x^2+5x)
Решение:
= (x^2-2x+1/x^2-25)(x^2+5x-1)/(x-1)
= ((x-1)(x-1)/((x+5)(x-5)))((x+5)(x-1)/x-1)
= (x-1)/(x-5)