问题 解答题

分解因式:

(1)a4-16;

(2)x2-2xy+y2-9.

答案

(1)a4-16=(a22-42

=(a2-4)(a2+4),

=(a2+4)(a+2)(a-2);

(2)x2-2xy+y2-9,

=(x2-2xy+y2)-9,

=(x-y)2-32

=(x-y-3)(x-y+3).

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