How to find the third term of a binomial expansion to the fifth power

How to find the third term of a binomial expansion to the fifth power

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the third term in a binomial expansion of (2X - 3Y)^5. It covers identifying terms, the importance of using parentheses, and using Pascal's triangle to find coefficients. The tutorial concludes with calculating and simplifying the third term, resulting in 720X^3Y^2.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first term in the binomial expansion of (2X - 3Y)^5?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the coefficients in a binomial expansion?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of using Pascal's triangle in binomial expansions?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of finding the third term in the expansion of (2X - 3Y)^5.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final simplified form of the third term in the expansion of (2X - 3Y)^5?

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