因式分解的几道题,急

来源:百度知道 编辑:UC知道 时间:2024/05/25 02:11:10
1.y^2-6y-9x^2+9
2.X^2+2xy+y^2+ax+ay
3.4x^4-a^2-6a-9
4.36-b^2-c^2+2bc
5.ax^2+bx^2-cx^2+a+b+c
6.a^2-b^2+2(ax-by)+x^2-y^2
7.x^2+6xy+9y^2-4m^2+4mn-n^2
8.(a-3b)(3b-a+5)-25/4
10.ab+a-b-1

1.=(y-3)^2-9x^2=(y+3x-3)(y-3x-3)
2.=(x+y)^2+a(x+y)=(x+y)(x+y+2)
3.=4x^4-(a+3)^2=(2x^2+a+3)[2x^2-(a+3)]
4.=36-(b-c)^2=(6+b-c)(6-b+c)
5.=a(x^2+1)+b(x^2+1)-c(x^2-1)=(x^2+1)(a+b)-c(x+1)(x-1)
6.=(a+x)^2-(b+y)^2=(a+x+b+y)(a+x-b-y)
7.=(x+3y)^2-(2m-n)^2=(x+3y+2m-n)(x+3y-2m+n)
8.=[5-(a-3b)](a-3b)-25/4=-[(a-3b)^2-5(a-3b)+25/4]=-(a-3b-5/2)^2
10.=a(b+1)-(b+1)=(a-1)(b+1)

1.=(y-3)^2-9x^2=(y+3x-3)(y-3x-3)
2.=(x+y)^2+a(x+y)=(x+y)(x+y+2)
3.=4x^4-(a+3)^2=(2x^2+a+3)[2x^2-(a+3)]
4.=36-(b-c)^2=(6+b-c)(6-b+c)
5.=a(x^2+1)+b(x^2+1)-c(x^2-1)=(x^2+1)(a+b)-c(x+1)(x-1)
6.=(a+x)^2-(b+y)^2=(a+x+b+y)(a+x-b-y)
7.=(x+3y)^2-(2m-n)^2=(x+3y+2m-n)(x+3y-2m+n)
8.=a(b+1)-(b+1)=(a-1)(b+1)