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Byju's Answer
Standard IX
Mathematics
(x³±y³)
Find the valu...
Question
Find the value of
43
3
+
47
3
43
2
−
43
×
47
+
47
2
using a suitable algebraic identity.
90
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Solution
The correct option is
A
90
Using the identity
a
3
+
b
3
=
(
a
2
−
a
b
+
b
2
)
(
a
+
b
)
On taking
a
=
43
and
b
=
47
,
the given expression becomes:
⇒
a
3
+
b
3
a
2
−
a
b
+
b
2
=
a
+
b
43
3
+
47
3
43
2
−
43
×
47
+
47
2
=
43
+
47
=
90
.
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