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Standard IX
Mathematics
Question
Evaluate the following using suitable identities.
(
99
)
3
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Solution
Verified by Toppr
(
99
)
3
=
(
100
−
1
)
3
Suitable identities is
(
x
−
y
)
3
=
x
3
−
3
x
2
y
+
3
x
y
2
−
y
3
∴
(
100
−
1
)
3
=
(
100
)
3
−
3
(
100
)
2
(
1
)
+
3
(
100
)
(
1
)
2
−
(
1
)
3
=
1000000
−
30000
+
300
−
1
=
970299
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