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分解因式:(1)-4a2+4a-1 (2)-4x2y+12xy2-9y3 (3)9(x-y)2-6(y-x)+1 (4)

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/12 04:31:54
分解因式:
(1)-4a2+4a-1
(2)-4x2y+12xy2-9y3
(3)9(x-y)2-6(y-x)+1
(4)3-6x+3x2
(5)-a+2a2-a3
(6)(x2+y22-4x2y2
(7)a4-2a2b2+b4
(8)(x2+9)2-36x2
(9)
m
(1)原式=-(4a2-4a+1)=-(2a-1)2
(2)原式=-y(4x2-12xy+9y2 )=-y(2x-3y)2
(3)原式=(3x-3y+1)2
(4)原式=3(1-2x+x2)=3(1-x)2
(5)原式=-a(1-a)2
(6)原式=(x+y)2(x-y)2
(7)原式=(a2-2ab+b2)(a2+2ab+b2)=(a+b)2(a-b)2
(8)原式=(x2+9-6x)(x2+9+6x)=(x+3)2(x-3)2
(9)原式=n2(
m
3+n)2;
(10)原式=-2axn-1(1-6x+9x2)=-2axn-1(1-3x)2