Use pascals triangle to expand a binomial to the 6th power

The video tutorial explains the process of binomial expansion, focusing on the pattern of terms and coefficients. It introduces the concept using examples, discusses the role of Pascal's triangle in determining coefficients, and demonstrates calculations for binomial expressions. The tutorial emphasizes understanding the ascending and descending order of terms and the application of coefficients in the expansion process.

What is the first term in the expansion of (y + 2)^6?

• y^6

• 2^6

• y^5

• 2^5

In a binomial expansion, how do the powers of the first term change?

• They alternate

• They ascend

• They remain constant

• They descend

What pattern is used to determine the coefficients in a binomial expansion?

• Fibonacci sequence

• Arithmetic sequence

• Pascal's triangle

• Geometric sequence

What is the coefficient of the second term in the expansion of (y + 2)^6?

• 1

• 15

• 6

• 20

How is the coefficient of a term in a binomial expansion determined?

• By using the corresponding row in Pascal's triangle

• By dividing the previous coefficient by 2

• By adding the powers of the terms

• By multiplying the previous coefficient by 2

What is the final term in the expansion of (y + 2)^6?

• y^6

• 2^6

• y^0

• 2^0

What is the value of 2^6 in the expansion of (y + 2)^6?

• 32

• 64

• 16

• 128