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Byju's Answer
Standard VIII
Mathematics
Expansion of (x^2 - y^2)
Find the prod...
Question
Find the product of
102
×
98
using appropriate identity
A
9996
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B
9906
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C
8996
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D
8096
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Solution
The correct option is
A
9996
We know
102
×
98
=
(
100
+
2
)
(
100
−
2
)
Using identity
(
x
+
y
)
(
x
−
y
)
=
x
2
−
y
2
Therefore,
(
100
+
2
)
(
100
−
2
)
=
(
100
)
2
−
(
2
)
2
=
10000
−
4
=
9996
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0
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