Question

If a +/a=1 then a^3+1 = ​

Answer 1

Step-by-step explanation:

a+1/a=1

cubing both sides

a^3+1+3a^2+3a/a^3=1

a^3+1+3a^2+3a=a^3

a^3+1=a^3-3a^2+3a

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Answer 2

+1/+1=0
a
+
1
/
a
+
1
=
0

(2+1+)/=0
(
a
2
+
1
+
a
)
/
a
=
0

2++1=0
a
2
+
a
+
1
=
0

4−
a
4
−
a

=(3−1)
=
a
(
a
3
−
1
)

=((−1)(2++1))
=
a
(
(
a
−
1
)
(
a
2
+
a
+
1
)
)

=(−1)(2++1)
=
a
(
a
−
1
)
(
a
2
+
a
+
1
)

=(−1)(0)
=
a
(
a
−
1
)
(
0
)

=0
=
0

Therefore,4−=0