Lesson Worksheet: The Binomial Theorem Mathematics

In this worksheet, we will practice using Pascal's triangle to find the coefficients of expansion of (a+b)n and using the binomial theorem to find the expansion of (a+b)n.

Q1:

What is the middle term in the following expansion:

• A
• B
• C
• D

Q2:

Find the middle term in the expansion of .

• A
• B
• C
• D

Q3:

In the expansion of according to the descending powers of , if the value of the fourth term is 4โโโ320, find the value of .

• A3
• B
• C
• D27
• E18

Q4:

In the expansion of according to the descending powers of , find the fourth term.

• A
• B
• C
• D
• E

Q5:

In the expansion of according to the descending powers of , find the second term from the end.

• A
• B
• C
• D
• E

Q6:

Use Pascalโs triangle to expand the expression .

• A
• B
• C
• D
• E

Q7:

Use Pascalโs triangle to expand the expression .

• A
• B
• C
• D
• E

Q8:

Use Pascalโs triangle to expand the expression .

• A
• B
• C
• D
• E

Q9:

Use the binomial expansion to find the first three terms of in ascending powers of .

• A
• B
• C
• D
• E

Q10:

Use the binomial theorem to expand .

• A
• B
• C
• D
• E