问题 解答题

因式分

(1)12a2bc-24ab2c+18abc2

(2)x2-6x+5;

(3)(y+2)(y+4)+1;

(4)-a4b4+8a2b2-16.

答案

(1)12a2bc-24ab2c+18abc2=6abc(2a-4b+3c)

(2)x2-6x+5=(x-1)(x-5)

(3)(y+2)(y+4)+1,

=y2+6y+9,

=(y+3)2

(4)-a4b4+8a2b2-16,

=-(a4b4-8a2b2+16),

=-(a2b2-4)2

=-(ab+2)2(ab-2)2

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