当x=根号6,y=根号2时,求代数式xy分之x눀-y눀-xy-x눀分之xy-y눀的值

2025-01-05 00:17:03
推荐回答(3个)
回答1:

(x²-y²)/xy-y(x-y)/x(y-x)
=(x²-y²)/xy+y/x
=(x²-y²+y²)/xy
=x/y
=√6/√2
=√3

回答2:

x=√6,y=√2
∴ (x²-y²-xy)/(xy)-(xy-y²)/x²
=(6-2-√6×√2)/(√6×√2)-(√6×√2-2)/6
=(4-2√3)/(2√3)-(2√3-2)/6
=(4√3-6)/6-(2√3-2)/6
=(4√3-6-2√3+2)/6
=(2√3-4)/6
=√3/3-2/3

回答3:

根据题意解答如上