Discrete Mathematics
# Binomial Theorem

What is the sum of the coefficients of the terms in $(x-3)^4$ when expanded?

Expand $(x+1)(x^2-y)^{18}$ and determine the absolute value of the coefficient of $x^{31}y^3$.

What is the coefficient of the $x^3$ term in the expansion of $\left((x+1)^ 2\right)^ {5}$?