求证:a^5+b^5>a^2b^3+a^3b^2

来源：学生作业帮助网编辑：六六作业网时间：2024/12/20 09:24:23

求证:a^5+b^5>a^2b^3+a^3b^2求证:a^5+b^5>a^2b^3+a^3b^2 求证:a^5+b^5>a^2b^3+a^3b^2a^5-a^2b^3+b^5-b^2a^3=

求证:a^5+b^5>a^2b^3+a^3b^2
求证:a^5+b^5>a^2b^3+a^3b^2

求证:a^5+b^5>a^2b^3+a^3b^2
a^5-a^2b^3+b^5-b^2a^3=a^2(a^3-b^3)+b^2(b^3-a^3)
=(a^2-b^2)*(a^3-b^3)
因为这2个式子符号相同所以上式大于0