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Byju's Answer
Standard VIII
Mathematics
Algebraic Quadratic Identity
1072=. Evalua...
Question
(
107
2
) =
. (Evaluate using identities.)
A
11449
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B
11249
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C
16269
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D
18149
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Solution
The correct option is
A
11449
Using the identity,
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
,
⇒
107
2
=
(
100
+
7
)
2
=
100
2
+
2
×
(
100
)
×
(
7
)
+
7
2
= 10000 + 1400 + 49
= 11449.
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