把a-b+c看做一个整体,化简(a-b+c)²·(b-a-c)^4·(a+c-b)·(b-c-a)³

问题描述:

把a-b+c看做一个整体,化简(a-b+c)²·(b-a-c)^4·(a+c-b)·(b-c-a)³

(a-b+c)²·(b-a-c)^4·(a+c-b)·(b-c-a)³
=(a-b+c)².{-(a-b+c)}^4·(a+c-b).{-(a-b+c)}³
=(a-b+c)^10

(a-b+c)²·(b-a-c)^4·(a+c-b)·(b-c-a)³
=(a-b+c)^2*(a-b+c)^4*(a-b+c)*[-(a-b+c)^3]
=-(a-b+c)^10