Вычислите, применив распределительный закон: 3/5 * (-5/11+5/3) - 5/11 * (-3/5+11/5) = 11/12 * (23/37-12/11) + 23/37 * (-11/12+37/23) = 4/5 * (6/7-5/4) + 6/5 * (5/6-4/7) = 11/13 * (13/22-3/7) + 3/13 * (-13/3+11/7) =

1) 3/5 * ( - 5/11 + 5/3) - 5/11 * ( - 3/5 + 11/5) = - 5/11 * 3/5 + 5/3 * 3/5 + 5/11 * 3/5 - 11/5 * 5/11 = - 3/11 + 1 + 3/11 - 1 = 0.

2) 11/12 * (23/37 - 12/11) + 23/37 * ( - 11/12 + 37/23) = 11/12 * 23/37 - 11/12 * 12/11 - 11/12 * 23/37 + 23/37 * 37/23 = (11 * 23) / (12 * 37) - 1 - (11 * 23) / (12 * 37) + 1 = 253/444 - 253/444 = 0.

3) 4/5 * (6/7 - 5/4) + 6/5 * (5/6 - 4/7) = 4/5 * 6/7 - 5/4 * 4/5 + 6/5 * 5/6 - 6/5 * 4/7 =

(4 * 6) / (5 * 7) - 1 + 1 - (6 * 4) / (5 * 7) = 24/35 - 24/35 = 0.

4) 11/13 * (13/22 - 3/7) + 3/13 * ( - 13/3 + 11/7) = 11/13 * 13/22 - 3/7 * 11/13 - 3/13 * 13/3 + 3/13 * 11/7 = 11/22 - (3 * 11) / (7 * 13) - 1 + (3 * 11) / (13 * 7) = 11/22 - 33/91 - 1 + 33/91 = 11/22 - 1 = 11/22 - 22/22 = (11 - 22) / 22 = - 11/22 = - 1/2 = - 0.5.