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Byju's Answer
Standard VIII
Mathematics
Addition and Subtraction of Algebraic Expression
n-102 + 10-n
Question
(
n
−
10
)
2
+
(
10
−
n
)
Open in App
Solution
The given expression
(
n
−
10
)
2
+
(
10
−
n
)
can be solved as follows:
(
n
−
10
)
2
+
(
10
−
n
)
=
n
2
+
(
10
)
2
−
(
2
×
n
×
10
)
+
(
10
−
n
)
(
∵
(
a
−
b
)
2
=
a
2
+
b
2
−
2
a
b
)
=
n
2
+
100
−
20
n
+
10
−
n
=
n
2
+
(
−
20
n
−
n
)
+
(
10
+
100
)
(
C
o
m
b
i
n
i
n
g
l
i
k
e
t
e
r
m
s
)
=
n
2
−
21
n
+
110
Hence,
(
n
−
10
)
2
+
(
10
−
n
)
=
n
2
−
21
n
+
110
.
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0
Similar questions
Q.
Factorise it:-
(n - 10)
2
+ (10 - n)
Q.
The sum of the infinite series:
1
10
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2
10
2
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3
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.
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Q.
20. 102n-1is divisible by 11
Q.
The limiting sum of the infinite series,
1
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whose
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t
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Q.
Assertion :Number of the dissimilar terms in the sum of expansion
(
x
+
a
)
102
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(
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−
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is 206. Reason: Number of terms in the expansion of
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n
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.
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