很高兴回答您的问题!
(a4-b4)÷(a2+b2/a+b)
= (a4-b4)×(a+b/a2+b2)
=(a2-b2)(a2+b2)×(a+b/a2+b2)
=a2-b2/a+b
=(a+b)(a-b)/(a+b)
=a-b
因为a=2+√3,b=√3-2
所以原式=a-b
=(2+√3)-(√3-2)
=4