Čo je 2 / (x ^ 2 - 9) + 3 / (x ^ 2-4x + 3)?

Čo je 2 / (x ^ 2 - 9) + 3 / (x ^ 2-4x + 3)?
Anonim

odpoveď:

# 2 / (x ^ 2-9) + 3 / (x ^ 2-4x + 3) = (5x + 7) / ((x-3), (x + 3) (x-1)) #

vysvetlenie:

# 2 / (x ^ 2-9) + 3 / (x ^ 2-4x + 3) #

= # 2 / ((x-3), (x + 3)) + 3 / ((x-3), (x-1)) #

= # (2 (x-1), 3 (x + 3)) / ((x-3), (x + 3) (x-1)) #

= # (2x-2 + 3 + 9) / ((x-3), (x + 3) (x-1)) #

= # (5x + 7) / ((x-3), (x + 3) (x-1)) #