因式分解 a的3次方-3a的平方+2a如题 - -呐呐呐,谁能给我个原因?- - 老师没讲到也

问题描述:

因式分解 a的3次方-3a的平方+2a
如题 - -
呐呐呐,谁能给我个原因?- -
老师没讲到也

a^3-3a^2+2a
=a(a^2-3a+2)
=a(a-1)(a-2)
非常对

原式=a^3-a^2-2a^2+2a
=a^2(a-1)-2a(a-1)
=a(a-1)(a-2)

a^3-3a^2+2a=a(a^2-3a+2)=a(a-2)(a-1)

a^3-3a^2+2a
=a(a^2-3a+2)
=a(a-1)(a-2)

既然你不知道什么是十字相乘法,那就换种方法吧
a³-3a²+2a
=(a³-a²)-(2a²-2a)
=a²(a-1)-2a(a-1)
=a²(a-1)-2a(a-1)
=a(a-1)(a-2)

a^3-3a^2+2a=a(a^2-3a+2)=a(a-1)(a-2)