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?已知x*x-4xy+4y*y=0求[2x(x+y)-y(x+y)]/(4x*x-4xy+y*y)的

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