最新版lol亚索符文:因式分解:

来源:百度文库 编辑:杭州交通信息网 时间:2024/04/27 22:01:17
(1)(c-a)^2-4(b-a)(a-c)
(2)x^2-xy-2y^2-x-y
可否给个过程?万分感谢!!!
实在是太抱歉了,第一题应该是(c-a)^2-4(b-c)(a-b)

1.
(c-a)^2-4(b-c)(a-b)
= (c-a)(c-a)-4(ab-b^2-ac+bc)
=c^2-2ac+a^2-4ab+4b^2+4ac-4bc
=c^2+a^2+4b^2-4ab+2ac-4bc
=(a-2b)^2+c^2-(2c)(a-2b)
=(a-2b-c)^2

2.
x^2-xy-2y^2-x-y
= (x+y)(x-2y)-(x+y)
= (x+y)(x-2y-1)

1.原式=(c-a)(c+a)+4(b-a)(c-a)
=(c-a)(c+a+4b-4a)
=(c-a)(4b-3a+c)
2.原式=(x^2-xy-2y^2)-(x+y)
=(x+y)(x-2y)-(x+y)
=(x+y)(x-2y-1)

(1)、(c-a)^2+4(b-c)(a-b)=c^2-2ca+a^2-4ab+4ac+4(b^2)-4bc=c^2+2ac+a^2-4ab+4(b^2)-4bc=(c+a)^2-4b(a+c)+(2b)^2=(c+a-2b)^2
(2)、(x^2-y^2)-xy-y^2-x-y=(x+y)(x-y)-xy-y^2-x-y=(x+y)(x-y)-y(x+y)-(x+y)=(x+y)(x-2y-1)

(1)(c-a)^2-4(b-a)(a-c)
=(c-a)^2+4(b-a)(c-a)
=(c-a)〔(c-a)+4(b-a)〕
=(c-a)(c+4b-5a)

(2)x^2-xy-2y^2-x-y
=(x^2-xy-2y^2)-x-y
=(x-2y)(x+y)-(x+y)
=(x+y)(x-2y-1)

(1)(c-a)^2-4(b-a)(a-c)
解:原式=(c-a)^2+4(b-a)(c-a)
=(c-a)〔(c-a)+4(b-a)〕
=(c-a)(c+4b-5a)

(2)x^2-xy-2y^2-x-y
解:原式=(x^2-xy-2y^2)-x-y
=(x-2y)(x+y)-(x+y)
=(x+y)(x-2y-1)

1.(c-a)^2+4(b-a)(c-a)=(c-a)(4b+c-3a)
2.x^2-xy-2y^2-x-y
= (x+y)(x-2y)-(x+y)
= (x+y)(x-2y-1)