9a^2-6ab+3a分解因式

来源：百度知道 编辑：UC知道 时间：2024/05/30 04:59:52
还有27a(x+y)^2-96(x+y)^3
9(x-y)^2-4(x+y)^2
-8a^2 x+6a^3 x^2+16ax^3
2xy-x^2-y^2
(x-2)(x+1)+2
(x+2)(x+4)+x^2-4
(x^2+y^2)2-4x^2y^2
(m+1)^2-9(m-1)^2
(b-a)^2-(b+a)
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9a^2-6ab+3a
=3a(3a-2b+1)

27a(x+y)^2-96(x+y)^3
=3(x+y)^2[9a-32(x+y)]
=3(x+y)^2(9a-32x-32y)

9(x-y)^2-4(x+y)^2
=[3(x-y)+2(x+y)][3(x-y)-2(x+y)]
=(5x-y)(x-5y)

-8a^2 x+6a^3 x^2+16ax^3
=2ax(3a^2x-4a+8x^2)

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

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

(x+2)(x+4)+x^2-4
=(x+2)(x+4)+(x+2)(x-2)
=(x+2)(x+4+x-2)
=(x+2)(2x+2)
=2(x+2)(x+1)

(x^2+y^2)^2-4x^2y^2
=(x^2+2xy+y^2)(x^2-2xy+y^2)
=(x+y)^2(x-y)^2

(m+1)^2-9(m-1)^2
=[(m+1)+3(m-1)][(m+1)-3(m-1)]
=(4m-2)(-2m+4)
=-4(2m-1)(m-2)

(b-a)^2-(b+a)
=[(b-a)+(b+a)][(b-a)-(b+a)]
=2b*(-2a)
=-4ab

9a^2-6ab+3a=3a(3a-2b+1)

9(x-y)^2-4(x+y)^2=(3x-3y+2x+2y)(3x-3y-2x-2y)=(5x-y)(x-5y))

-8a^2 x+6a^3 x^2+16ax^3 =2ax(3a^2x-4a+8x^2)

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

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