Question

化简n.(n+1).(n+2).(n+3)+n.n的化简结果

Answer 1

=n(n+3)*(n+1)(n+2)+n²
=(n²+3n)*(n²+3n+2) +n²
=(n²+3n)² + 2(n²+3n) +n²
=n^4 +6n*n² +9n² +2n²+6n +n²
=n^4 +6n³ +12n²+6n

Answer 2

=n(n^2+3n+2)×（n+3）+n^2
=(n^3+3n^2+2n)×（n+3）+n^2
=n^4+3n^3+2n^2+3n^3+9n^2+6n+n^2
=n^4+6n^3+3n^2