已知x+y=2,xy=三分之二.求(x²-1)(y²-1)
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已知x+y=2,xy=三分之二.求(x²-1)(y²-1)已知x+y=2,xy=三分之二.求(x²-1)(y²-1)已知x+y=2,xy=三分之二.求(x
已知x+y=2,xy=三分之二.求(x²-1)(y²-1)
已知x+y=2,xy=三分之二.求(x²-1)(y²-1)
已知x+y=2,xy=三分之二.求(x²-1)(y²-1)
(x²-1)(y²-1)
=x²y²-x²-y²+1
=(xy)²-(x+y)²+2xy+1
=4/9-4+4/3+1
=-11/9
说明:x²+y²=x²+2xy+y²-2xy=(x+y)²-2xy
(x²-1)(y²-1)=x²y²-x²-y²+1
=(xy)²-(x+y)²+2xy+1
代入已知得-11/9 (负九分之十一)
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