因式分解: a^3+b^3+a^2b-b^2a+1

2025-01-04 00:14:12
推荐回答(1个)
回答1:

a^3+b^3+a^2b+b^2a+1
=(a+b)(a^2 +ab +b^2) + ab(a+b) +1
=(a+b)(a^2 +2 ab +b^2) +1
=(a+b)^3 +1
=(a+b+1)(a^2 + 2ab +b^2 +a+b+1)
...?全部是+号的吧?