问题
解答题
因式分解
(1)2x2-8xy+8y2
(2)x2(x-y)+(y-x)
答案
(1)2x2-8xy+8y2,
=2(x2-4xy+4y2),
=2(x-2y)2;
(2)x2(x-y)+(y-x),
=x2(x-y)-(x-y),
=(x-y)(x2-1),
=(x-y)(x+1)(x-1).
因式分解
(1)2x2-8xy+8y2
(2)x2(x-y)+(y-x)
(1)2x2-8xy+8y2,
=2(x2-4xy+4y2),
=2(x-2y)2;
(2)x2(x-y)+(y-x),
=x2(x-y)-(x-y),
=(x-y)(x2-1),
=(x-y)(x+1)(x-1).