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因式分解:1、x²(x-y)+(y-x);2、4x²y-12xy+9y;3、4(a+b)²-4(a+b)+1
4、a的4次方-2a²b²+b的4次方
人气:480 ℃ 时间:2019-08-18 08:46:12
解答
1.x²(x-y)+(y-x)
=x²(x-y)-(x-y)
=(x-y)(x²-1)
=(x-y)(x+1)(x-1);
2.4x²y-12xy+9y
=y(4x²-12x+9)
=y(2x-3)²
3.4(a+b)²-4(a+b)+1
=[2(a+b)-1]²
=(2a+2b-1)²
4.a^4-2a²b²+b^4
=(a²-b²)²
=(a+b)²(a-b)²
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