问题 解答题

分解因式:

(1)4x3y+4x2y2+xy3

(2)9x3-25xy2

(3)-3x+6x2-3x3

答案

(1)4x3y+4x2y2+xy3

=xy(4x2+4xy+y2),

=xy(2x+y)2

(2)9x3-25xy2

=x(9x2-25y2),

=x(3x-5y)(3x+5y);

(3)-3x+6x2-3x3

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

=-3x(1-x)2

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