Binomial Theorem Worksheets Grade 12

1. Expand (x + 2y)^4 = ?
2. Mason is a financial analyst studying the growth of an investment portfolio. The portfolio's value in thousands of dollars after t years is modeled by the expression (2 + 0.5t)^8. Using the binomial theorem, expand (2 + 0.5t)^8 completely. Write your answer as a polynomial in descending powers of t.
3. Expand (4x - y)^6 = ?

…and 5 more problems

1. Expand (5x - 4y)^6 = ?
2. A geometric pattern is formed by expanding (2x - y)^5 using the binomial theorem. The expansion creates terms with coefficients that follow a visual pattern when arranged in triangular form similar to Pascal's triangle. What is the sum of all coefficients in the expansion?
3. Expand (2x - 7y)^5 = ?

…and 4 more problems

1. Expand (4x - 3y)^7 = ?
2. Mason, a computer science student, is designing a new encryption algorithm based on polynomial expansions. For one part of the algorithm, he needs to expand the expression (2x^2 - 3)^7 using the binomial theorem. What is the coefficient of the x^8 term in the expansion of (2x^2 - 3)^7?
3. Expand (2x - 3)^4 = ?

…and 5 more problems