MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AIME Problems
2000 AIME Problems
3
Binomial Expansion
Binomial Expansion
Source:
January 5, 2007
AIME
number theory
relatively prime
2000 AIME
Problem Statement
In the expansion of
(
a
x
+
b
)
2000
,
(ax+b)^{2000},
(
a
x
+
b
)
2000
,
where
a
a
a
and
b
b
b
are relatively prime positive integers, the coefficients of
x
2
x^{2}
x
2
and
x
3
x^{3}
x
3
are equal. Find
a
+
b
.
a+b.
a
+
b
.
Back to Problems
View on AoPS