a, \(17.201-7.201-2009\\ =\left(17-7\right).201-2009\\ =10.201-2009\\ =2010-2009\\ =1\)
b, \(73.\left(-12\right)+\left(-73\right).88\\ =73.\left(-12\right)+73.\left(-88\right)\\ =73.\left[\left(-12\right)+\left(-88\right)\right]\\ =73.\left(-100\right)\\ =-7300\)
c, \(\frac{6}{25}+\left(-\frac{2}{18}\right)+\frac{19}{25}+\left(-\frac{8}{9}\right)\\ =\left(\frac{6}{25}+\frac{19}{25}\right)+\left(-\frac{2}{18}\right)+\left(-\frac{16}{18}\right)\\ =\frac{25}{25}+\left[\left(-\frac{2}{18}\right)+\left(-\frac{16}{18}\right)\right]\\ =1+\left(-\frac{18}{18}\right)\\ =1+\left(-1\right)\\ =0\)