a^2+b^2=2a^2+b^2+2ab=1所以2ab=-1ab=-1/2(a+b)(a^2+b^2)=a^3+b^3+ab(a+b)=1*2=3=a^3+b^3-1/2*1所以a^3+b^3=7/2(a^2+b^2)^2=a^4+b^4+2a^2b^2=a^4+b^4+1/2=4所以a^4+b^4=7/2所以(a+b)(a^4+b^4)=a^5+ab(a^3+b^3)+b^5=1...请采纳哦~ O(∩_∩)O