问题
解答题
因式分
(1)(a+b)2+6(a+b)+9;
(2)-2xy-x2-y2
(3)(x2-2xy)2+2y2(x2-2xy)+y4.
答案
(1)(a+b)2+6(a+b)+9,
=(a+b+3)2;
(2)-2xy-x2-y2,
=-(x2+2xy+y2),
=-(x+y)2;
(3)(x2-2xy)2+2y2(x2-2xy)+y4,
=(x2-2xy+y2)2,
=(x-y)4.
因式分
(1)(a+b)2+6(a+b)+9;
(2)-2xy-x2-y2
(3)(x2-2xy)2+2y2(x2-2xy)+y4.
(1)(a+b)2+6(a+b)+9,
=(a+b+3)2;
(2)-2xy-x2-y2,
=-(x2+2xy+y2),
=-(x+y)2;
(3)(x2-2xy)2+2y2(x2-2xy)+y4,
=(x2-2xy+y2)2,
=(x-y)4.