问题 解答题

因式分

(1)4a2+6ab+2a;

(2)2x2-12x+18;

(3)3x2-27;

(4)-a2b2+2abc2-c4

答案

(1)4a2+6ab+2a=2a(2a+3b+1);

(2)2x2-12x+18

=2(x2-6x+9)

=2(x-3)2

(3)3x2-27

=3(x2-9)

=3(x+3)(x-3);

(4)-a2b2+2abc2-c4

=-(a2b2-2abc2+c4

=(ab-c22

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