Find the third term of a binomial expansion

The video tutorial explains the process of expanding a binomial expression, specifically focusing on the expansion of (2X + 1) to the fifth power. It highlights the importance of coefficients in the expansion and demonstrates how to identify and calculate the third term, which involves multiplying by the coefficient 10. The tutorial concludes with the calculation of the final term, resulting in the expression 80X cubed.

What is the coefficient of the third term in the expansion of (2X + 1) to the fifth power?

• 15

• 20

• 10

• 5

In the expansion of (2X + 1) to the fifth power, what is the power of 2X in the first term?

• 2

• 4

• 5

• 3

How does the power of 2X change as you move from one term to the next in the expansion?

• It decreases by 1

• It increases by 1

• It remains the same

• It doubles

What is the value of the last term in the expansion of (2X + 1) to the fifth power?

• 2

• 0

• 1

• 5

What is the final result of the third term in the expansion of (2X + 1) to the fifth power?

• 40X cubed

• 60X cubed

• 80X cubed

• 100X cubed