[Math] Simplify $(k +1)! > (k + 1)^2$ to prove true for $k ≥ 4$

discrete mathematicsproof-verification

I am trying to prove this statement is true for $k ≥ 4$. I don't know how to work with $k + 1$ factorial, so I'm a little lost on proving this.

Best Answer

HINT:

Use the relationship

$$(k+1)!=(k+1)k!$$