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Byju's Answer
Standard XII
Chemistry
System, Surroundings, Intensive, Extensive Properties
Using binomia...
Question
Using binomial expansion, simplify the expression
Q
[
(
1
+
△
x
x
)
3
−
1
]
, assuming
△
x
to be small in comparison to
x
.
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Solution
Q
[
(
1
+
Δ
x
x
)
3
−
1
]
=
Q
[
1
+
3
Δ
x
x
−
1
]
=
3
Q
Δ
x
x
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Similar questions
Q.
Simplify the binomial
(
x
+
1
x
2
/
3
−
x
1
/
3
+
1
−
x
−
1
x
−
x
1
/
2
)
10
and find the term of its expansion which does not contain
x
.
Q.
Expand
(
1
+
x
+
x
2
)
3
using binomial expansion.
Q.
Use the BODMAS rule to simplify the expression:
x
y
2
+
x
3
−
x
[
x
2
−
x
]
[
2
x
]
+
(
x
−
1
)
x
2
Q.
Simplify
1
x
+
p
+
1
x
+
q
+
1
x
+
r
+
p
x
x
3
+
p
x
2
+
q
x
x
3
+
p
x
2
+
r
x
x
3
+
r
x
Q.
Using binomial theorem, write down the expansions of the following:
(i)
2
x
+
3
y
5
(ii)
2
x
-
3
y
4
(iii)
x
-
1
x
6
(iv)
1
-
3
x
7
(v)
a
x
-
b
x
6
(vi)
x
a
-
a
x
6
(vii)
x
3
-
a
3
6
(viii)
1
+
2
x
-
3
x
2
5
(ix)
x
+
1
-
1
x
(x)
1
-
2
x
+
3
x
2
3
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