simplify this question

Question

How to simplify $(k+1)!-1+(k+1)(k+1)!$ into $[(k + 1) + 1] - 1$

Answer 1

$(k +1)! - 1 + (k + 1)(k + 1)! =(k+1)!+(k+1)(k+1)!-1=(k+1)! [1+k+1]-1=(k+1)!(k+2)-1=(k+2)!-1$

$ [(k + 1) + 1] - 1$ is wrong !