a3(x-y)-3a2b(y-x)因式分解为______.

问题描述:

a3(x-y)-3a2b(y-x)因式分解为______.

a3(x-y)-3a2b(y-x)=a3(x-y)+3a2b(x-y)=a2(x-y)(a-3b).
故答案为:a2(x-y)(a-3b).
答案解析:首先把原式变为:a3(x-y)+3a2b(x-y),然后提取公因式a2(x-y)即可求得答案.
考试点:因式分解-提公因式法.
知识点:此题考查了提公因式法分解因式.此题难度不大,注意掌握公因式的找法是关键.