作业帮已知x*x-4xy+4y*y=0 求[2x(x+y)-y(x+y)]/(4x*x-4xy+y*y)的值?
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![已知x*x-4xy+4y*y=0 求[2x(x+y)-y(x+y)]/(4x*x-4xy+y*y)的值?](/uploads/image/z/1633409-17-9.jpg?t=%E5%B7%B2%E7%9F%A5x%2Ax-4xy%2B4y%2Ay%3D0+%E6%B1%82%5B2x%28x%2By%29-y%28x%2By%29%5D%2F%284x%2Ax-4xy%2By%2Ay%29%E7%9A%84%E5%80%BC%3F)
已知x*x-4xy+4y*y=0 求[2x(x+y)-y(x+y)]/(4x*x-4xy+y*y)的值?
已知x*x-4xy+4y*y=0 求[2x(x+y)-y(x+y)]/(4x*x-4xy+y*y)的值?
已知x*x-4xy+4y*y=0 求[2x(x+y)-y(x+y)]/(4x*x-4xy+y*y)的值?
即(x-2y)²=0
x-2y=0
所以x=2y
所以原式=(2x²+2xy-xy-y²)/(4x²-4xy+y²)
=(2x²+xy-y²)/(4x²-4xy+y²)
=(2x-y)(x+y)/(2x-y)²
=(x+y)/(2x-y)
=(2y+y)/(4y-y)
=3y/3y
=1
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