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因式分解 ①-x²-4y²+4xy
②x(m-x)(y-m)+m(x-m)(m-y)
③(a²+b²)²-(a+b)²(a-b)²
人气:325 ℃ 时间:2020-03-29 01:22:36
解答

-x²-4y²+4xy
=-(x²-4xy+4y²)
=-(x-2y)²
x(m-x)(y-m)+m(x-m)(m-y)
=-x(x-m)(y-m)-m(x-m)(y-m)
=-(x+m)(x-m)(y-m)
原式
=(a²+b²)²-(a²-b²)²
=[(a²+b²)-(a²-b²)][(a²+b²)+(a²-b²)]
=(2b²)(2a²)
=4a²b²
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