Question

Simplifique as seguintes expressoes, supondo ab=/0
[ ( a^-2 - 2 (ab)^-1 + b^-2) : (a^-1 - b^1)] . b =

Answer 1

a) [(a-² - 2(ab)-¹ +b-²) : (a-¹ - b-¹)] . b= 
[(1/a² - 2/(ab) +1/b²) : (1/a - 1/b)] . b= 
[(b² - 2ab +a²)/a²b²) : (b-a)/a b)] . b= 
[(b² - 2ab +a²)/a²b²) .(ab)/ (b-a)] . b= 
[(b - a)²/ab .1/ (b-a)] . b= 
[(b - a)/ab ] . b= 
(b - a)/a 
ou