Binomial Theorem
Binomial Theorem Exercise 1 : Expansion Expand using the binomial formula: $ (x + y)^4 $ $ (2a - b)^5 $ $ \left( \frac{1}{x} + x \right)^3 $ Exercise 2 : Coefficients Find the specified coefficient: Coefficient of $ x^3 $ in $ (1 + x)^8 $ Coefficient of $ a^4b^2 $ in $ (2a - 3b)^6 $ Coefficient of $ x^{-2} $ in $ \left( x - \frac{1}{x} \right)^{10} $ Exercise 3 : Identities Prove the following identities using the binomial theorem: ...