Выполните действия (дроби) : а) 24 а^4/b^3*b^4/8a^4 б) 7xy^2/2:14x^2 y^2 в) m+2n/m-n*m^2-n^2/5m+10n г) x^2-2x+1/x^2-25:x-1/x^2+5x

а) (24 а^4 * в^4) / (8 а^4 * в^3) = 3 в (8 а^4 * в^3) / (8 а^4 * в^3) = 3 в.

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

в) (m + 2n) / (m - n) * (m^2 - n^2) / (5m + 10n) = (m + 2n) (m^2 - n^2) / (m - n) (5m + 10n) = (m^3 - mn^2 + 2nm^2 - 2n^3) / (5m^2 + 10nm - 5nm - 10n^2) = (m^3 - mn^2 + 2nm^2 - 2n^3) / (5m^2 + 5nm - 10n^2).

г) (x^2 - 2x + 1) / (x^2 - 25) : (x - 1) / (x^2 + 5x) = (x^2 - 2x + 1) / (x^2 - 25) * (x^2 + 5x) / (х - 1) = (x^2 - 2x + 1) (x^2 + 5x) / (x^2 - 25) (х - 1) = (х^4 - 2x^3 + x^2 + 5x^3 - 10x^2 + 5x) / (x^3 - x^2 - 25x - 25).