What is the formula for find the coefficient of any term in a binomial expansion

What is the formula for find the coefficient of any term in a binomial expansion

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Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the coefficients in a binomial expansion. It introduces the concept of coefficients, particularly focusing on the third degree and second term. The tutorial then explains how to calculate these coefficients using the binomial theorem, which involves factorials. The formula for finding the coefficient of any term is given as N factorial divided by (N-R) factorial times R factorial. The video concludes with examples to illustrate the application of this formula.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the term 'degree choose' refer to in binomial expansions?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of 'N' and 'R' in the context of binomial coefficients.

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