# What is the formula for binomial expansion?

To understand Ismail's answer, it is worth recalling some notations:

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The formula for the binomial expansion is given by:

[ (a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k ]

where ( n ) is a non-negative integer, ( a ) and ( b ) are real numbers, and ( \binom{n}{k} ) represents the binomial coefficient, defined as ( \frac{n!}{k!(n-k)!} ).

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