-of-these-is-the-most-efficient-algebraic-simplification-of-n2-n-for-integer-n-0

Question

Which of these is an algebraic simplification of (n+2)!−n!(n+2)! − n! for integer n≥0n\geq{0}?

Accepted Answer

n!(n2+3n+1)n!$$(n^2 + 3n + 1) $$

Answer

(n+2)!−n!(n+2)! − n!  cannot be simplified further

Answer

n!(n+1)n!(n+1)

Answer

$$n2+3n+2n^2+3n+2 $$

Which of these is an algebraic simplification of (n+2)!−n!(n+2)! − n! for integer n≥0n\(\geq{0}\)?