计算:(根号2+根号3-根号6)^2-(根号2-根号3+根号6)^2= (a根号b+b根号a)^2-(a根号b-b根号a)^2=

2025-02-27 16:52:40
推荐回答(1个)
回答1:

(√3-√2+√6)(√3+√2-√6)
=(√3)²-(√2-√6)²
=3-2-6+2×2√3
=4√3-1
(a根号b+b根号a)^2-(a根号b-b根号a)^2=

=a²b+b²a+2ab√ab-a²b-b²a+2ab√ab
=4ab√ab