How is it that $k!(k+1)$ can be simplified to $(k + 1)!$ ? $(k(k!) + k!)$ seems intuitive enough, but where do you go from there?
2026-04-07 22:52:01.1775602321
Multiplying unknown variable factorials
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Just as divx showed, it follows directly from the definition. ..the only factor in $(k+1)! $ that is missing from $k! $ is $(k+1)$.