您的位置首页百科问答

已知1/x-1/y=3,求代数式2x-14xy-2y/x-2xy-y的值

已知1/x-1/y=3,求代数式2x-14xy-2y/x-2xy-y的值

解:由1/x-1/y=1,变形两边各乘以xy,得,y-x=3xy,∴xy=1/3(y-x),(2x-14xy-2y)/(x-2xy-y)=[2x-14/3(y-x)-2y]/ [ x-2/3(y-x)-y) ],分式上下中此悄各乘以3,卖渣并展开括号,得3(2x-14/3y+14/3x-2y)/3(x-2/3y+2/3x-y)=(6x-14y+14x-6y)/(3x-2y+2x-3y)=(20x-20y)/(5x-5y)=4(5x-5y)/(5x-5y)=4 祝学习进步扒洞