请你先化简分式x²-2xy+y²/x²-xy÷(xy的-1次方-x的-1次方y),再将x=3-√3,y=√3代人求值.
问题描述:
请你先化简分式x²-2xy+y²/x²-xy÷(xy的-1次方-x的-1次方y),再将x=3-√3,y=√3代人求值.
答
x²-2xy+y²/x²-xy÷(xy的-1次方-x的-1次方y)=(x-y)²/x(x-y)÷(x/y-y/x)=(x-y)/x÷(x²-y²)/xy=(x-y)÷(x+y)(x-y)/y=y/(x+y)=√3/(3-√3+√3)=√3/3