作业帮a³-8-6a²+12a因式分解
来源：学生作业帮助网 编辑：作业帮 时间：2024/07/19 15:46:43
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a³-8-6a²+12a因式分解
a³-8-6a²+12a因式分解
a³-8-6a²+12a因式分解
a³-8-6a²+12a
=a³-2³-6a(a-2)
=(a-2)(a²+2a+4)-6a(a-2)
=(a-2)(a²-4a+4)
=(a-2)(a-2)²
=(a-2)³
(a-2)(a^2+2a+4)-6a(a-2)=(a-2)(a^2-4a+4)=(a-2)^3
原式=（a－2）的立方
a³-8-6a²+12a
=a³-2a²-4a²+8a+4a-8
=a²（a-2）-4a（a-2）+4（a-2）
=（a²-4a+4）（a-2）
=（a-2）³
(a-2)(a的平方-4a+4)
a³-8-6a²+12a
(a³-8)-(6a²-12a)
=(a³-2³)-6a(a-2)
=[(a-2)(a²+2a+4)]-6a(a-2)
=(a-2)(a²-4a+4)
=(a-2)(a-2)²
=(a-2)³