因式分解: (1)-2xy-x2-y2; (2)16(m-n)2-9(m+n)2; (3) 4x2(x-y)+(y-x).
问题描述:
因式分解:
(1)-2xy-x2-y2;
(2)16(m-n)2-9(m+n)2;
(3) 4x2(x-y)+(y-x).
答
(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),=...