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could u pls help me to understand the multinomial theorem? further is this topic important ya no?

could u pls help me to understand the multinomial theorem?


further is this topic important ya no?

Grade:12

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

The following is the multinomial formula or theorem, also called the Polynomial Theorem:
multinomialTheorem.gif [1.1]
While it looks oppressive, it is easy to prove and also easy to use. In 1.1, the a's are terms. n is an integer. The m's are the number of each term selected.
The multinomial coefficient can be written:
multiNomialCoefficient.gif [1.2]

(Where the sum of the m's is equal to n).
For instance:
multiNomialCoefficientExample.gif [1.3]

Therefore, the Multinomial Theorem can be written:
multiNomialTheorem2.gif

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