把下列各式分解因式:(1)a2(x-y)2+2a(x-y)3+(x-y)4(2)(x2+y2)2-4x2y2.
题型:解答题难度:一般来源:不详
把下列各式分解因式: (1)a2(x-y)2+2a(x-y)3+(x-y)4 (2)(x2+y2)2-4x2y2. |
答案
(1)a2(x-y)2+2a(x-y)3+(x-y)4, =(x-y)2[a2+2a(x-y)+(x-y)2, =(x-y)2(a+x-y)2;
(2)(x2+y2)2-4x2y2, =(x2+2xy+y2)(x2-2xy+y2), =(x+y)2(x-y)2. |
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