Răspuns:
a = 1/2
b = 2/3
c = 5/4
a) c-b+a = 5/4 - 2/3 + 1/2 = 15/12 - 8/12 + 6/12
= (15-8+6)/12 = 13/12
c-a-b = 5/4 - 1/2 - 2/3 = 15/12 - 6/12 - 8/12
= (15-6-8)/12 = 1/12
(c-b+a)×(c-a-b) = 13/12 × 1/12 = 13/144
b) (c-b)^2 - a^2 = (5/4 - 2/3)^2 - (1/2)^2
= (15/12 - 8/12)^2 - (1/2)^3
= (7/12)^2 - (1/2)^2
= (7/12 - 1/2)(7/12 + 1/2)
= (7/12 - 6/12)(7/12 + 6/12)
= 1/12 × 13/12
= 13/144
(c-b+a)×(c-a-b) = (c-b)^2 - a^2 = 13/144
Rezultatele sunt egale .
