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Byju's Answer
Standard VIII
Mathematics
Expansion of (a^2 - b^2)
If 352 -272=3...
Question
If
35
2
−
27
2
=
31
a
,
then find the value of a.
A
12
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B
14
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C
16
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D
28
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Solution
The correct option is
C
16
Given :
35
2
−
27
2
=
31
a
Using the identity,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
35
2
−
27
2
=
(
35
+
27
)
(
35
−
27
)
⇒
31
a
=
(
35
+
27
)
(
35
−
27
)
⇒
31
a
=
62
×
8
⇒
a
=
16
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0
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