【初二数学】计算下面因式分解.
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【初二数学】计算下面因式分解.
![](http://img.wesiedu.com/upload/1/13/113c69faaebf91ed72e85c0a3d1fb7b9.jpg)
![](http://img.wesiedu.com/upload/1/13/113c69faaebf91ed72e85c0a3d1fb7b9.jpg)
![【初二数学】计算下面因式分解.](/uploads/image/z/18823811-59-1.jpg?t=%E3%80%90%E5%88%9D%E4%BA%8C%E6%95%B0%E5%AD%A6%E3%80%91%E8%AE%A1%E7%AE%97%E4%B8%8B%E9%9D%A2%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3.)
(1) y^2-y+1/4
= 1/4(4y^2-4y+1)
= 1/4(2y-1)^2
(2) -x^2-4y^2+4xy
= -(x^2-4xy+4y^2)
=-(x-2y)^2
(3) 18x^2-12x+2
= 2(9x^2-6x+1)
= 2(3x-1)^2
(4)
(x^2+1)^2-4x^2
= (x^2+1+2x)(x^2+1-2x)
=(x+1)^2(x-1)^2
= 1/4(4y^2-4y+1)
= 1/4(2y-1)^2
(2) -x^2-4y^2+4xy
= -(x^2-4xy+4y^2)
=-(x-2y)^2
(3) 18x^2-12x+2
= 2(9x^2-6x+1)
= 2(3x-1)^2
(4)
(x^2+1)^2-4x^2
= (x^2+1+2x)(x^2+1-2x)
=(x+1)^2(x-1)^2