מה זה 2 / (x ^ 2 - 9) + 3 / (x ^ 2-4x + 3)?

מה זה 2 / (x ^ 2 - 9) + 3 / (x ^ 2-4x + 3)?
Anonim

תשובה:

(X + 1) (x-1) (x + 1) + (x + 3) (x + 2)

הסבר:

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

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

= # (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)) #