Wat is 2 / (x ^ 2 - 9) + 3 / (x ^ 2-4x + 3)?

Wat is 2 / (x ^ 2 - 9) + 3 / (x ^ 2-4x + 3)?
Anonim

Antwoord:

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

Uitleg:

# 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 + 3x + 9) / ((x-3) (x + 3) (x-1)) #

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