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Standard VIII
Mathematics
Question
Using identities, evaluate:
71
2
.
5041
3041
6041
2041
A
2041
B
6041
C
3041
D
5041
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Solution
Verified by Toppr
Given,
71
2
,
i.e.
71
2
=
(
70
+
1
)
2
.
We know,
(
x
+
y
)
2
=
x
2
+
y
2
+
2
x
y
.
Then,
71
2
=
(
70
+
1
)
2
=
70
2
+
(
2
×
70
×
1
)
+
1
2
=
4900
+
140
+
1
=
5040
+
1
=
5041.
Hence,
71
2
=
5041
.
Therefore, option
A
is correct.
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