а) (24a^4/b^3)(b^4/8a^4Решение= (24a^4b^4)/(8a^4*b^3= 3b/= 3b
б) (7xy^2/2)/(14x^2 y^2Решение= (7xy^2/2)*(1/(14x^2 y^2)= 7xy^2/28x^2 y^= 1/4x
в) (m+2n/m-n)(m^2-n^2/5m+10nРешение= ((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+5xРешение= (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)
а) (24a^4/b^3)(b^4/8a^4
Решение
= (24a^4b^4)/(8a^4*b^3
= 3b/
= 3b
б) (7xy^2/2)/(14x^2 y^2
Решение
= (7xy^2/2)*(1/(14x^2 y^2)
= 7xy^2/28x^2 y^
= 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)