Binomial Theorem

Binomial Theorem - Expansions


What is the sum of the coefficients of the terms in (x3)4(x-3)^4 when expanded?

For what value of n24n \geq 24 are the coefficients of x14x^{14} and x24x^{24} equal in the expansion of (1+x)n(1+x)^{n}?

Expand (x+1)(x2y)18(x+1)(x^2-y)^{18} and determine the absolute value of the coefficient of x31y3x^{31}y^3.

What is the coefficient of the x3x^3 term in the expansion of ((x+1)2)5\left((x+1)^ 2\right)^ {5}?

The coefficient of x9y3x^{9}y^3 in the expansion of (x+ay)12(x+ay)^{12} is 2750027500. What is the value of aa?


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