Wie bewerten Sie # 3x ^ 3 + 9 x ^ 2- 12x-36 #?

Antworten:

# 3 (x + 3) (x + 2) (x-2). #

Erläuterung:

# 3x ^ 3 + 9x ^ 2-12x-36, #

# = 3 {ul (x ^ 3 + 3x ^ 2) -ul (4x-12)}, #

# = 3 {x ^ 2 (x + 3) -4 (x + 3)}, #

# = 3 (x + 3) {x ^ 2-2 ^ 2}, #

# = 3 (x + 3) (x + 2) (x-2). #