问题 解答题

因式分

(1)x4-y4

(2)(x2+4)2-16x2

(3)3a3-6a2+3a.

答案

(1)x4-y4

=(x2+y2)(x2-y2),

=(x2+y2)(x+y)(x-y);

(2)(x2+4)2-16x2

=(x2+4x+4)(x2-4x+4),

=(x+2)2(x-2)2

(3)3a3-6a2+3a,

=3a(a2-2a+1),

=3a(a-1)2

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