Prove that: n! (n + 2) = n! + (n + 1)!
Given: n! (n + 2) = n! + (n + 1)!
R.H.S. = n! + (n + 1)!
= n! + (n + 1)(n + 1 – 1)!
= n! + (n + 1)n!
= n!(1 + n + 1)
= n! (n + 2) = L.H.S
L.H.S = R.H.S
Hence, Proved.