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10 cards from this deck
(a+b)n(a + b)^n(a+b)n where nnn is any real number
n!k!(n−k)!\frac{n!}{k!(n-k)!}k!(n−k)!n!
∣x∣<1|x| < 1∣x∣<1
111
nxnxnx
n(n−1)2!x2\frac{n(n-1)}{2!}x^22!n(n−1)x2
n(n−1)(n−2)…(n−k+1)k!\frac{n(n-1)(n-2)\dots(n-k+1)}{k!}k!n(n−1)(n−2)…(n−k+1)
For small values of xxx
Repeated application of binomial theorem or multinomial expansion
Infinite series
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