Question

几道因式分解

( 1) 2(x-y)^2-x(x-y)
(2) 6a(a+b)^2-(a+b)^2
(3) x^2y(x-y)^2-2xy(y-x)^2
(4) -a(b-a)^2-ab(a-b)^3
(5) X(x-y-z)+y(y+z-x)+z(z-x+y)

Answer 1

解：1原式=(x-y)(2(x-y)-x)
=(x-y)(x-2y)
2原式=(a+b)^2(6a-1)
4原式=-a(a-b)2(1+b(a-b))
=-2a(a-b)(1+ab-b^2)
5原式=x(x-y-z)-y(x-y-z)-z(x-y-z)
=(x-y-z)^2
3不会