Question

(√6+√2)(√6-√2)(√3-√2)^2

(√6+√2)(√6-√2)(√3-√2)^2
错了,不好意思啊.是(√6+√2)(√6-√2)+(√3-√2)^2

Answer 1

(√6+√2)(√6-√2)
可以用平方差公式.即(a+b)(a-b)=a^2-b^2

所以这两项结里为4

(√3-√2)^2

这个用差的平方公式(a-b)^2=a^2-2ab+b^2

所以这结果为5-2√6
所以总结果为9-2√6

Answer 2

(√6+√2)(√6-√2)+(√3-√2)^2

= (√6)^)^2 - (√2)^2 +[(√3)^2 - 2√6 + (√2)^2]

=6 - 2 + 3 - 2√6 + 2

= 9 - 2√6

Answer 3

(√6+√2)(√6-√2)+(√3-√2)^2
=6-2+3+2-2√6
=9-2√6

Answer 4

20-8√6