(x-6) (x + 7) / (x-9) (x + 5)?

(x-6) (x + 7) / (x-9) (x + 5)?
Anonim

Antworten:

# = (x ^ 2 + x-42) / (x ^ 2-4x-45 #

Erläuterung:

# ((x-6) (x + 7)) / ((x-9) (x + 5)) #

Verwenden Sie die distributive Eigenschaft

# = ((x) (x) + (x) (7) + (- 6) (x) + (- 6) (7)) / ((x) (x) + (x) (5) + (-9) (x) + (- 9) (5) #

# = (x ^ 2 + 7x-6x-42) / (x ^ 2 + 5x-9x-45) #

# = (x ^ 2 + x-42) / (x ^ 2-4x-45 #

# = (x ^ 2 + x-42) / (x ^ 2-4x - 45 #