(a+b-c)^2m(a-b-c)^2m+1(c-a-b)^4m+3(c+b-a)^m+1求因式分解
问题描述:
(a+b-c)^2m(a-b-c)^2m+1(c-a-b)^4m+3(c+b-a)^m+1求因式分解
答
(a+b-c)^2m(a-b-c)^2m+1(c-a-b)^4m+3(c+b-a)^m+1=(a+b-c)^2m·[-(b+c-a)]^2m+1·[-(a+b-c)]^4m+3·(b+c-a)^m+1=[-(a+b-c)^6m+3][-(b+c-a)^3m+2=-(a+b-c)^6m+3·(b+c-a)^3m+2