北京京科医院收费标准:挑战数学题

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因式分解,会几道答几道,大家帮帮忙
1)x^3-x^2-x-y^3+y^2+y
2)x^3-y^3-x^2+2xy-y^2
3)x^3(y-x)+y^3(z-x)+z^3(x-y)
4)a^2-99ab-100b^2
5)x^2+5/6x+1/6
6)2x^2-3x-9
7)2[(p+q)^2]+6(p+q)+4
8)3(y^2)+11y+10
9)60(x^2)-60xy+15(y^2)-44x+22x+8
10)2.85*2.012-0.79*20012-0.88*2.012

1.=(x-y)(x^2+xy+y^2)-x^2-x+y^2+y
=(x-y)(x^2+xy+y^2)-(x+y)(x-y)-(x-y)
=(x-y)(x^2+xy+y^2-x+y-1)
2.=(x-y)(x^2+xy+y^2)-(x-y)^2
=(x-y)(x^2+xy+y^2-x+y)
3.=x^3y-x^3z+y^3z-y^3x+z^3x-z^3y
=x(x^2y-x^2z-y^3+z^3)+y^3z-z^3y
=x(x^2(y-z)-(y-z)(y^2+yz+z^2))+yz(y^2-z^2)
=(y-z)(x^3-x(y^2+yz+z^2))+yz(y+z)(y-z)
=(y-z)(x^3-x(y^2+yz+z^2)+yz(y+z))
不知道还能否分解,我是不行了
4.=(a-100b)(a+b)
5.=(x+1/2)(x+1/3)
6.=(x-3)(2x+3)
7.=(p+q+1)(2p+2q+4)
8.(3y+5)(y+2)
9.不会
10.看不懂

1)=x^3-y^3-(x^2-y^2)-(x-y)=(x-y)(x^2+xy+y^2)-(x+y)(x-y)-(x-y)
=(x-y)(x^2+xy+y^2-x-y-1)

2)=x^3-y^3-(x-y)^2=(x-y)(x^2+xy+y^2-x+y)

3)=(y-x)(x^3-z^3)+y^3(x-y)
=(y-x)(x-z)(x^2+xz+z^2)+y^3(z-x)
=(x-z)[(y-x)(x^2+xz+z^2)-y^3]

其他的下午来做

既然有人做了,我就不做了下面的

最后两题楼主检查一下是不是抄错题目了