Expand : ( x -
1
/x
+ 5)2
Answers
Answer:
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Answer:
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Step-by-step explanation:
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Algebra Examples
Popular Problems Algebra Expand Using the Binomial Theorem (x+1/x)^5
(
x
+
1
x
)
5
Use the binomial expansion theorem to find each term. The binomial theorem states
(
a
+
b
)
n
=
n
∑
k
=
0
n
C
k
⋅
(
a
n
−
k
b
k
)
.
5
!
(
5
−
0
)
!
0
!
(
x
)
n
−
k
⋅
(
1
x
)
k
+
5
!
(
5
−
1
)
!
1
!
(
x
)
n
−
k
⋅
(
1
x
)
k
+
5
!
(
5
−
2
)
!
2
!
(
x
)
n
−
k
⋅
(
1
x
)
k
+
5
!
(
5
−
3
)
!
3
!
(
x
)
n
−
k
⋅
(
1
x
)
k
+
5
!
(
5
−
4
)
!
4
!
(
x
)
n
−
k
⋅
(
1
x
)
k
+
5
!
(
5
−
5
)
!
5
!
(
x
)
n
−
k
⋅
(
1
x
)
k
Substitute in the actual expressions as well as
n
and
k
.
5
!
(
5
−
0
)
!
0
!
(
x
)
5
−
0
⋅
(
1
x
)
0
+
5
!
(
5
−
1
)
!
1
!
(
x
)
5
−
1
⋅
(
1
x
)
+
5
!
(
5
−
2
)
!
2
!
(
x
)
5
−
2
⋅
(
1
x
)
2
+
5
!
(
5
−
3
)
!
3
!
(
x
)
5
−
3
⋅
(
1
x
)
3
+
5
!
(
5
−
4
)
!
4
!
(
x
)
5
−
4
⋅
(
1
x
)
4
+
5
!
(
5
−
5
)
!
5
!
(
x
)
5
−
5
⋅
(
1
x
)
5
Simplify the exponents for each term of the expansion.
1
⋅
(
x
)
5
⋅
(
1
x
)
0
+
5
⋅
(
x
)
4
⋅
(
1
x
)
+
10
⋅
(
x
)
3
⋅
(
1
x
)
2
+
10
⋅
(
x
)
2
⋅
(
1
x
)
3
+
5
⋅
(
x
)
⋅
(
1
x
)
4
+
1
⋅
(
x)⋅(1x)5