Can you please write equation

$\displaystyle n(n+1)(n+2)(n+3)+1$

as whole square

like writing $\displaystyle {x}^2+4x+4=(x+2)(x+2) = {(x+2)}^{2}$

My Try:

$\displaystyle n(n+1)(n+2)(n+3)+1={n}^{4}+{6n}^{3}+{11n}^{2}+6n+1$

and this equation has 2 pairs of equal roots, and they are not integers