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2022-23 IOQM India
6
IOQM 2022-23 P-6
IOQM 2022-23 P-6
Source:
October 30, 2022
algbera
IOQM
Problem Statement
Let
a
,
b
a,b
a
,
b
be positive integers satisfying
a
3
−
b
3
−
a
b
=
25
a^3-b^3-ab=25
a
3
−
b
3
−
ab
=
25
. Find the largest possible value of
a
2
+
b
3
a^2+b^3
a
2
+
b
3
.
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