问题
解答题
先阅读下列材料,再解答后面的问题. ∵
∴
=
=
=
(1)在和式
(2)计算
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答案
(1)在和式
+1 1×3
+1 3×5
中,1 5×7
第五项为:
,1 9×11
第n项为:
;1 (2n-1)(2n+1)
(2)
+1 (x-1)x
+1 x(x+1)
+1 (x+1)(x+2) 1 (x+2)(x+3)
=
-1 x-1
+1 x
-1 x
+1 x+1
-1 x+1
+1 x+2
-1 x+2 1 x+3
=
-1 x-1 1 x+3
=x+3-x+1 (x-1)(x+3)
=
.4 (x-1)(x+3)