已知x=1732+1,求代数式1x+1?x+3x2?1×x2?2x+1x2+4x+3的值

已知x=1732+1,求代数式1x+1?x+3x2?1×x2?2x+1x2+4x+3的值.
2025-03-13 02:04:04
推荐回答(1个)
回答1:

原式=
1
x+1
-
x+3
(x+1)(x?1)
?
(x?1)2
(x+1)(x+3)

=
1
x+1
-
x?1
(x+1) 2

=
x+1?(x?1)
(x+1)2

=
2
(x+1)2

∵x=
17
3
2
+1
=
17(3
2
?1)
(3
2
+1)(3
2
?1)
=3
2
-1,
∴原式=
2
(3