How can we represent any term in a binomial expansion

How can we represent any term in a binomial expansion

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses the binomial expansion and its relation to Pascal's triangle. It explains how each term in the expansion can be represented using a specific format involving X and Y, where the degrees of X decrease and the degrees of Y increase. An example is provided to illustrate the calculation of terms, highlighting the pattern in the degrees of terms as they change. The tutorial emphasizes understanding the representation of terms in the binomial expansion.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the general format for representing each term in the binomial expansion?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the term 'N' represent in the context of binomial expansion?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how you can represent the first term of the binomial expansion when R is zero.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the degree of X change as the degree of Y increases in the binomial expansion?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between the degrees of X and Y in the binomial expansion.

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