Question

因式分解2x(x-y)^4-x^2(x-y)^2+xy(y-x)^2 (c^2+ab)^2-(a+b)^2*c^2有谁会吗

麻烦帮助一下，谢谢。

Answer 1

1.楼段厅主陆燃谈打早碰多了个x吧
2(x-y)^4-x^2(x-y)^2+xy(y-x)^2
=(x-y)^2[2(x-y)^2-x^2+xy]
=(x-y)^2(2x^2-4xy+2y^2-x^2+xy)
=(x-y)^2(x^2-3xy+2y^2)
=(x-y)^2(x-y)(x-2y)
=(x-y)^3(x-2y)
2.(c^2+ab)^2-(a+b)^2c^2
=c^4+2abc^2+a^2b^2-a^2c^2-2abc^2-b^2c^2
=c^4+a^2b^2-a^2c^2-b^2c^2
=(a^2b^2-a^2c^2)+(c^4-b^2c^2)
=a^2(b^2-c^2)+c^2(c^2-b^2)
=a^2(b^2-c^2)-c^2(b^2-c^2)
=(a^2-c^2)(b^2-c^2)
=(a+c)(a-c)(b+c)(b-c)

Answer 2

=2