Найдите значение выражений при заданных значениях переменных (m-n)+(n-c)-(m-c);m=1/6 n=1/7 c=1/4 (a+b-c)+(a-b+c)-(a-b-c);

При m = 1/6 и n = 1/7 и c = 1/4 :

(m - n) + (n - c) - (m - c) = (1/6 - n) + (n - c) - (1/6 - c)  =(1/6 - 1/7) + (1/7 - c) - (1/6 - c) = 

 = (1/6 - 1/7) + (1/7 - 1/4) - (1/6 - 1/4) = (7 - 6)/42 + (4 - 7)/28 - (4 - 6)/24 =

= 1/42 - 3/28 +2/24 = 1/42 - 1/7 + 1/12  = - 5/42 + 1/12 = (- 10 + 7)/84 = - 3/84 = - 1/28;

При a = 1,2 и b = - 0,8 и c = 0,6:

(a + b - c) + (a - b + c) - (a - b - c) = (1,2 + b - c) + (1,2 - b + c) - (1,2 - b - c) =

= (1,2 + (- 0,8) - 0,6) + (1,2 - (- 0,8) + 0,6) - (1,2 - (- 0,8) - 0,6) = - 0,2 + 2,6 - 1,4 = 1;