问题 填空题
若x=
3
+1
,则y=2x5-4x4-x3-6x2-6的值为______.
答案

由x=

3
+1得3=(x-1)2

∴y=2x5-4x4-x3-6x2-6

=2x3(x2-2x+1)-2x3-x3-6x2-6

=2x3(x-1)2-3x3-6x2-6

=2x3×3-3x3-6x2-6

=3x3-6x2-6

=3x(x2-2x)-6

=3x(x2-2x+1)-3x-6

=3x(x-1)2-3x-6

=3x•3-3x-6

=9x-3x-6

=6x-6

=6(x-1)

=6

3

单项选择题
单项选择题