问题 解答题

分解因式:(1)ax2-2axy+ay2;(2)x4-1

答案

(1)ax2-2axy+ay2

=a(x2-2xy+y2),

=a(x-y)2

(2)x4-1,

=(x2+1)(x2-1),

=(x2+1)(x+1)(x-1).

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