把下列各式因式分解:(1)x3y-6x2y2+9xy3(2)m2(x-y)+n2(y-x
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解决时间 2021-03-15 16:26
- 提问者网友:你独家记忆
- 2021-03-15 12:59
把下列各式因式分解:(1)x3y-6x2y2+9xy3(2)m2(x-y)+n2(y-x
最佳答案
- 五星知识达人网友:鸽屿
- 2021-03-15 13:05
(1)x3y-6x2y2+9xy3,
=xy(x2-6xy+9y2),
=xy(x-3y)2;
(2)m2(x-y)+n2(y-x),
=m2(x-y)-n2(x-y),
=(x-y)(m2-n2),
=(x-y)(m+n)(m-n).
=xy(x2-6xy+9y2),
=xy(x-3y)2;
(2)m2(x-y)+n2(y-x),
=m2(x-y)-n2(x-y),
=(x-y)(m2-n2),
=(x-y)(m+n)(m-n).
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