我要去哪儿:如何把x^2y-2xy^2+y^3和(a^2+4)^2-16a^2分解因式?谢谢了!

来源:百度文库 编辑:查人人中国名人网 时间:2024/05/02 08:55:35
过程尽量详细些!

x^2y-2xy^2+y^3
=y(x^2-2xy+y^2)
=y(x-y)^2
(a^2+4)^2-16a^2
=(a^2+4)^2-(4a)^2
=(a^2+4+2a)(a^2+4-2a)
=(a+2)^2(a-2)^2

x^2y-2xy^2+y^3
=y(x^2-2xy+y^2)
=y(x-y)^2

(a^2+4)^2-16a^2
=a^4+8a^2+16-16a^2
=a^4-8a^2+16
=(a^2-4)^2
=[(a+2)(a-2)]^2
=(a+2)^2(a-2)^2