问题
解答题
把下列各式分解因式: (1)x3y-xy3 (2)(x2+4)2-16x2 (3)已知x=2009,y=2010,求代数式
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答案
(1)原式=xy(x2-y2)
=xy(x-y)(x+y);
(2)原式=(x2+4)2-(4x)2
=(x2+4-4x)(x2+4+4x)
=(x-2)2(x+2)2;
(3)原式=
÷x-y x x2-2xy+y2 x
=
•x-y x x (x-y) 2
=
,1 x-y
当x=2009,y=2010,原式=
=-1.1 2009-2010