杭州交通信息网黑磷狄拉克点:帮我分解因式哦
来源：百度文库 编辑：杭州交通信息网 时间：2024/05/01 09:03:50
(x+y)(5m+3n)^2-(x+y)(m-n)^2
(x+5y)^2+(2x+10y)(3x-y)+(3x-y)^2
bangwo
最好全写哦
(x+5y)^2+(2x+10y)(3x-y)+(3x-y)^2
bangwo
最好全写哦
(x+y)(5m+3n)^2-(x+y)(m-n)^2
=(x+y)[(5m+3n)^2-(m-n)^2]
=(x+y)(5m+3n+m-n)(5m+3n-m+n)
=(x+y)(6m+2n)(4m+4n)
=8(x+y)(3m+n)(m+n)
(x+5y)^2+(2x+10y)(3x-y)+(3x-y)^2
=(x+5y)^2+2(x+5y)(3x-y)+(3x-y)^2
=(x+5y+3x-y)^2
=(4x+4y)^2
=16(x+y)^2
(x+y)(5m+3n)^2-(x+y)(m-n)^2
= (x+y)((5m+n)^2-(m-n)^2)
=(x+y)(25m^2+10mn+n^2-m^2+2mn-n^2)
=(x+y)(24m^2+12mn)
=12m(x+y)(2m+n)
是不是有两条?第一答案:8(X+Y)(3M+N)(M+N)
第二:16(X+Y)^2