Question

Any product of four consecutive integers is one less than a perfect square.(Hint: Take four consecutive  integers as ) , m , m , mm +1 +2 +3

Answer 1

m(m+1)(m+2)(m+3) = (m^2+3m)^2 + 2(m^2+3m) = (m^2+3m + 1)^2 - 1