因式分解:(1)-2xy-x2-y2;(2)16(m-n)2-9(m+n)2;(3) 4x2(x-y)+(y-
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因式分解:
(1)-2xy-x2-y2;
(2)16(m-n)2-9(m+n)2;
(3) 4x2(x-y)+(y-x).
(1)-2xy-x2-y2;
(2)16(m-n)2-9(m+n)2;
(3) 4x2(x-y)+(y-x).
![因式分解:(1)-2xy-x2-y2;(2)16(m-n)2-9(m+n)2;(3) 4x2(x-y)+(y-](/uploads/image/z/19624755-3-5.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%EF%BC%881%EF%BC%89-2xy-x2-y2%EF%BC%9B%EF%BC%882%EF%BC%8916%EF%BC%88m-n%EF%BC%892-9%EF%BC%88m%2Bn%EF%BC%892%EF%BC%9B%EF%BC%883%EF%BC%89%26nbsp%3B4x2%EF%BC%88x-y%EF%BC%89%2B%EF%BC%88y-)
(1)-2xy-x2-y2,
=-(2xy+x2+y2),
=-(x+y)2;
(2)16(m-n)2-9(m+n)2,
=[4(m-n)+3(m+n)][4(m-n)-3(m+n)],
=(7m-n)(m-7n);
(3)4x2(x-y)+(y-x),
=4x2(x-y)-(x-y),
=(x-y)(4x2-1),
=(x-y)(2x+1)(2x-1).
=-(2xy+x2+y2),
=-(x+y)2;
(2)16(m-n)2-9(m+n)2,
=[4(m-n)+3(m+n)][4(m-n)-3(m+n)],
=(7m-n)(m-7n);
(3)4x2(x-y)+(y-x),
=4x2(x-y)-(x-y),
=(x-y)(4x2-1),
=(x-y)(2x+1)(2x-1).
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