Question

满足条件A^2+B^2=C^2的三个正整数,称为勾股数,观察下面的勾股数

Answer 1

a b c

5＝2+3 12＝2×2×3 13＝2×2×3+1

7＝3+ 4 24＝2×3×4 25＝2×3×4+1

9＝4+5 40＝2×4×5 41＝2×4×5+1

当a=2n+1时,b=__2n^2+2n______,c=____2n^2+2n+1____.