Binomial Expansion Worksheet

Binomial Expansion Practice

Read each question carefully and show all your work. Use the provided space for your answers.

1. Expand the binomial (x + 2y)³ using Pascal's Triangle.

2. The Binomial Theorem states that for any positive integer n, the expansion of (a + b)ⁿ is given by the sum of   terms.

3. The coefficients in the binomial expansion can be found using  .

4. What is the coefficient of the x²y³ term in the expansion of (x + y)⁵?

5. Find the 4th term in the expansion of (2a - b)⁶.

6. The sum of the exponents in each term of a binomial expansion (a + b)ⁿ is always equal to n.

7. Without fully expanding, find the coefficient of a³b² in (a + b)⁵.