问题 解答题

①12xyz-9x2y

②18x2-50

③-a+2a2-a3

④x4-18x2+81.

答案

①12xyz-9x2y=3xy(4z-3x);

②18x2-50

=2(9x2-25)

=2(3x+5)(3x-5);

③-a+2a2-a3

=-a(1-2a+a2

=-a(a-1)2

④x4-18x2+81

=(x2-9)2

=(x+3)2(x-3)2

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