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).