In $(1+x)^n$, the coefficients of $x^2$ and $x^3$ are equal and nonzero. Find $n$. Explain w

Question

In $(1+x)^n$, the coefficients of $x^2$ and $x^3$ are equal and nonzero. Find $n$. Explain why the condition “nonzero” matters.

Accepted Answer

$n=5$; Nonzero coefficients ensure both terms are present.

Binomial Theorem