[紧急求助]数学--化简:{(2n-1)×[(n-1)^2+1+n^2]}÷2注:…^2指…的二次方

Question

[紧急求助]数学--化简:{(2n-1)×[(n-1)^2+1+n^2]}÷2注:…^2指…的二次方

Answer 1

{(2n-1)×[(n-1)^2+1+n^2]}÷2
=[(2n-1)×(n²-2n+1+1+n²)]÷2
=[(2n-1)×(2n²-2n+2)]÷2
=[2(2n-1)×(n²-n+1)]÷2
=(2n-1)×(n²-n+1)
=2n³-2n²+2n-n²+n-1
=2n³-3n²+3n-1