If x = 1 + 21/3
+ 22/3, then the value of x3 - 3x2 - 3x - 1 is
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x=1+2
1/3
+2
2/3
x−1=(2
1/3
+2
2/3
)
(x−1)
3
=(2
1/3
+2
2/3
)
3
x
3
−3x
2
+3x−1=(2
1/3
)
3
+(2
2/3
)
3
+3.2
1/3
.2
2/3
(2
1/3
+2
2/3
)
x
3
−3x
2
+3x−1=2+2
2
+3.2
1
(x−1)
x
3
−3x
2
+3x−1=6+6(x−1)
x
3
−3x
2
+3x−1=6x
x
3
−3x
2
−3x−1=0
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