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Moscow Mathematical Olympiad
1947 Moscow Mathematical Olympiad
130
130
Part of
1947 Moscow Mathematical Olympiad
Problems
(1)
MMO 130 Moscow MO 1947 coeffiient of x^{20} in (1+x^2 -x^3)^{1000}
Source:
7/20/2019
Which of the polynomials,
(
1
+
x
2
−
x
3
)
1000
(1+x^2 -x^3)^{1000}
(
1
+
x
2
−
x
3
)
1000
or
(
1
−
x
2
+
x
3
)
1000
(1-x^2 +x^3)^{1000}
(
1
−
x
2
+
x
3
)
1000
, has the greater coefficient of
x
20
x^{20}
x
20
after expansion and collecting the terms?
algebra
polynomial
coefficients