Question

一道超难的数学题:N（N+1)(N+2)(N+3)+1是哪个数的平方,并予以证明.

Answer 1

回答：N*(N+1)*(N+2)*(N+3)+1

=N*(N+3)*(N+1)*(N+2)+1

=(N^2+3N)*(N^2+3N+2)+1

=(N^2+3N)^2+2(N2+3N)+1

=(N^2+3N+1)^2

为N^2+3N+1的平方