Question

Aratati ca succesorul produsului a patru numere naturale consecutive este patrat perfect... ma ajutati va roggg

Answer 1

x(x+1)(x+2)(x+3)+1=[x(x+3)][(x+1)(x+2)]+1=
=(x²+3x)(x²+3x+2)+1=(x²+3x)[(x²+3x)+2]+1=
=(x²+3x)²+2(x²+3x)+1=[(x²+3x)+1]²=(x²+3x+1)²