Wie kombinieren Sie # 1/3 + 7 / (3x) - 2 / (3x + 6) #?

Hinweis #Farbe (rot) (3) (x ^ 2 + 2x) = Farbe (blau) (3x) (x + 2) = Farbe (grün) ((3x + 6) (x) #

So # 1 / Farbe (rot) (3) + 7 / (Farbe (blau) (3x)) - 2 / (Farbe (grün) (3x + 6)) #

# = (3 (x ^ 2 + 2x) +7 (x + 2) -2 (x)) / (3x ^ 2 + 6x) #

# = (3x ^ 2 + 11x + 14) / (3x ^ 2 + 6x) #

# = 1/3 (1 + 7 / x-2 / (x + 2)) = 1/3 (7 / x + 1-2 / (x + 2)) #

# = 1/3 (7 / x + x / (x + 2)) #

# = 1/3 ((7 (x + 2) + x ^ 2) / (x (x + 2))) #

# = 1/3 ((7x + 14 + x ^ 2) / (x (x + 2))) #