问题
解答题
分解因式及化简 (1)x3y-2x2y2+xy3 (2)a2(a-b)+4b2(b-a) (3)
(4)
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答案
(1)原式=xy(x2-2xy+y2)=xy(x-y)2;
(2)原式=(a-b)(a2-4b2)=(a-b)(a+2b)(a-2b);
(3)原式=
=3(x-2)-(x+2)+2x (x+2)(x-2)
=4(x-2) (x+2)(x-2)
;4 x+2
(4)原式=
+1 x+1
•x(x-1) (x-3)(x+1)
=x-3 x
=1+x-1 x+1
.x x+1