Algebra
Binomial Theorem
What is the sum of the coefficients of the terms in \((x-3)^4\) when expanded?
For what value of \(n \geq 24 \) are the coefficients of \(x^{14}\) and \(x^{24}\) equal in the expansion of \((1+x)^{n}\)?
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 \(\left((x+1)^ 2\right)^ {5}\)?
The coefficient of \(x^{9}y^3\) in the expansion of \((x+ay)^{12}\) is \(27500\). What is the value of \(a\)?