Find the 4th term of a binomial raised to the 6th power

The video tutorial explains how to find the fourth term in a binomial expansion raised to the 6th power. It highlights common mistakes students make and provides a step-by-step guide to correctly apply the binomial theorem. The tutorial emphasizes the importance of using Pascal's triangle and simplifying terms to avoid errors. The final calculation of the fourth term is demonstrated, resulting in a coefficient of -160X cubed.

What is a common mistake students make when dealing with binomial expansion?

• Using addition instead of subtraction

• Raising the first term to the zero power

• Multiplying terms incorrectly

• Ignoring the coefficient

How many terms are there in a binomial expansion raised to the 6th power?

• Seven

• Eight

• Six

• Five

What is the coefficient of the fourth term in the binomial expansion of (2X - 1)^6?

• 15

• 10

• 25

• 20

What is the simplified form of 2X cubed?

• 10X

• 4X

• 8X

• 6X

What is the final result of the fourth term in the binomial expansion of (2X - 1)^6?

• -80X^3

• 160X^3

• -160X^3

• 80X^3