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{{ printedBook.courseTrack.name }} {{ printedBook.name }} The binomial theorem states that when a power of a binomial $(x+y)_{n},$ is expanded and $n$ is a natural number, it can be written as a sum of terms. $(x+y)_{n}=a_{0}x_{n}y_{0}+a_{1}x_{n−1}y_{1}+a_{2}x_{n−2}y_{2}+…+a_{n}x_{0}y_{n} $ Each of the terms is written in the form $ax_{b}y_{c}.$ In these terms, $b$ and $c$ are whole numbers and $b+c=n.$ The value of $a$ is found as term number $b$ on row number $n$ in Pascal's triangle.