Question

22) Simplifique as expressões. a) x^2 + 2xy + y^2 / x^2 - y^2 , com x^2 - y^2 ≠ 0. b) x^3 - 1 / x^2 - 1 , com x^2 - 1 ≠ 0

Answer 1

x^2 + 2xy + y^2 / x^2 - y^2

(x+y).(x+y) / (x+y).(x-y)

x+y / x-y

x^3 - 1 / x^2 - 1

(x-1).(x²+x+1) / (x-1).(x+1)

x²+x+1 / x+1