Practice Binomial Theorem in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A formula for fully expanding (a + b)^n into a polynomial sum where the coefficients are the binomial coefficients \binom{n}{k}.
Each term of (a+b)^n picks 'a' or 'b' from each factor. \binom{n}{k} counts how many ways to pick k b's.
Example 1
mediumExpand (x + 2)^3 using the Binomial Theorem.
Example 2
hardFind the coefficient of x^3 in the expansion of (2x + 3)^5.
Example 3
easyExpand (a + b)^4 using Pascal's triangle.
Example 4
mediumWhat is \binom{6}{2}?