Упростите выражение ((5m+2)/(5m-2)-(5m-2)/(5m+2)):(20m/(12-75m^2 ))

[latex] \frac{(5m+2)^2-(5m-2)^2}{(5m-2)(5m+2)} * \frac{-3(25m^2-4)}{20m} = \frac{-3(25m^2-4)(5m+2+5m-2)(5m+2-5m+2)}{20m(25m^2-4)} =\\ = \frac{-120m}{20m} =-6[/latex]

1) в скобках  ((5m+2)(5m+2) -(5m-2)(5m-2)) /(5m-2)(5m+2) =(25m² +20m+4 -(25m²-20m+4)) /(5m-2)(5m+2) =(25m²+20m+4 -25m²+20m-4) /(5m-2)(5m+2) =40m /(5m-2)(5m+2) 2) 12-75m² =3(4-25m²) =3(2-5m)(2+5m) = -3(5m-2)(5m+2) 3) при делении дробь переворачиваем и будет умножение  40m/(5m-2)(5m+2) *(-3(5m-2)(5m+2)/20m = -40m*(5m -2)(5m +2) /20m*(5m -2)(5m +2) = -2 ответ: -2