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.