问题 解答题

分解因式:

(1)(x2-3)2+2(3-x2)+1;

(2)12x2y3-27x4y;

(3)-a+2a2-a3

答案

(1)(x2-3)2+2(3-x2)+1,

=(x2-3-1)2

=(x2-4)2

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

(2)12x2y3-27x4y,

=3x2y(4y2-9x2),

=3x2y(2y+3x)(2y-3);

(3)-a+2a2-a3

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

=-a(a-1)2

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