问题
解答题
(1)计算:
(2)分解因式:(x2-2x)2+2(x2-2x)+1 (3)先化简,再求值:
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答案
(1)原式=
×22 2
+12
×42 2
-1 8
×32 2 48
=2
+2×6
-1 2
×43 2 6
=2
+1-66 6
=-1-4
;6
(2)原式=(x2-2x+1)2
=[(x-1)2]2
=(x-1)4;
(3)
÷(x-x-1 x
)2x-1 x
=
÷x-1 x x2-2x+1 x
=
•x-1 x x (x-1)2
=
,1 x-1
当x=
+1时,原式=5
=1
+1-15
.5 5