Binomial Expansion Worksheet
This worksheet provides practice problems on binomial expansion for Grade 11 students, covering the binomial theorem, Pascal's triangle, and identifying specific terms.
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Binomial Expansion Practice
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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
10
20
1
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.
True
False
7. Without fully expanding, find the coefficient of a³b² in (a + b)⁵.