金华到杭州高铁时刻表:化简：(a+b)^2(b+c-a)(c+a - b)+(a - b)^2(a+b+c)(a+b - c)

来源：百度文库 编辑：杭州交通信息网 时间：2024/04/28 22:57:05
??

(a+b)^2(b+c-a)(c+a - b)+(a - b)^2(a+b+c)(a+b - c)
=(a+b)^2[c-(a-b)][c+(a-b)]+(a - b)^2[(a+b)+c][(a+b)-c]
=(a+b)^2[c^2-(a-b)^2]+(a - b)^2[(a+b)^2-c^2]
=(a+b)^2 c^2-(a+b)^2(a-b)^2+(a - b)^2 (a+b)^2-(a - b)^2 c^2
=(a+b)^2 c^2-(a - b)^2 c^2
=c^2[(a+b)^2-(a - b)^2]
=4ab c^2

(a+b)^2(b+c-a)(c+a - b)+(a - b)^2(a+b+c)(a+b - c)
=(a+b)^2[c-(a-b)][c+(a-b)]+(a - b)^2[(a+b)+c][(a+b)-c]
=(a+b)^2[c^2-(a-b)^2]+(a - b)^2[(a+b)^2-c^2]
=(a+b)^2 c^2-(a+b)^2(a-b)^2+(a - b)^2 (a+b)^2-(a - b)^2 c^2
=(a+b)^2 c^2-(a - b)^2 c^2
=c^2[(a+b)^2-(a - b)^2]
=4ab c^2

化简：(a+b)^2(b+c-a)(c+a - b)+(a - b)^2(a+b+c)(a+b - c) 化简:(2a-b-c)/(a-b)(a-c)+(2b-c-a)/(b-c)(b-a)+(2c-a-b)/(c-a)(c-b) (a-b+c)^2 答题！！！！！！！！！！！！！！！！！！！！2(a*a*a-3)(a-b+c)-3(b-a*a)(a+b-c) 2a-b-c/(a-b)(a-c)+ab -c-a/(b-c)(b-a)+2c-a-b/(c-a)(c-b) |a|+|b-a|-|c-a|-|a+b| (a+b)(a-b)+a(2b-c)因式分解 b/(a+b)=(a+c+-b)/(b+c-a)=(a+b+c)/(2a+b+2c)求a:b:c= (a-b+c)(a+b-c) (A-B)*(B-C)*(A-C)