因式分解：-3x^3+6x^2y-3xy^2

分类: 作业答案 • 2021-12-28 14:50:53

问题描述：

因式分解：-3x^3+6x^2y-3xy^2
1.-3x^3+6x^2y-3xy^2
2.4a^2+4a+1
3.(x^2-3)^2-12(x^2-3)+36

答

-3x^3+6x^2y-3xy^2
=-3x(x^2-2xy+y^2)
=-3x(x-y)^2
4a^2+4a+1
=(2a+1)^2
(x^2-3)^2-12(x^2-3)+36
=[(x^2-3)-6]^2
=(x^2-9)^2
=(x+3)^2(x-3)^2