Question

Докажите тождество. решите пожалуйста

Answer 1

[ (m-2)(m+2) - (m+2)/(m-2) ] : 8m/(m²-4) + (1-m)/(1-3m) = 2m/(1-3m).
[ ((m-2)²-(m+2)²)/(m+2)(m-2) ] : 8m/(m²-4) + (1-m)/(1-3m) = 2m/(1-3m).
[ (m²-4m+4-m²-4m-4)/(m²-4) ] * (m²-4)/8m + (1-m)/(1-3m) = 2m/(1-3m).
[ -8m/(m²-4) ] * (m²-4)/8m + (1-m)/(1-3m) = 2m/(1-3m).
-8m/8m + (1-m)/(1-3m) = 2m/(1-3m).
-1 + (1-m)/(1-3m) = 2m/(1-3m).
(1-3m)/(1-3m) + (1-m)/(1-3m) = 2m/(1-3m).
(-1+3m+1-m)/(1-3m) = 2m/(1-3m).
(3m-m)/(1-3m) = 2m/(1-3m).
2m/(1-3m) = 2m/(1-3m).

Answer 2

Тождество верно и доказано