问题 解答题

因式分解:

(1)4x3-xy2

(2)-3x3+6x2y-3xy2

(3)m3(a-2)+m(2-a)

答案

(1)4x3-xy2

=x(4x2-y2

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

(2)-3x3+6x2y-3xy2

=-3x(x2-2xy+y2

=-3x(x-y)2

(3)m3(a-2)+m(2-a)

=m3(a-2)-m(a-2)

=m(a-2)(m2-1)

=m(a-2)(m+1)(m-1).

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