已知x/y=-2,求(x²-2xy-3y²)/(x²-6xy-7y²)
问题描述:
已知x/y=-2,求(x²-2xy-3y²)/(x²-6xy-7y²)
答
x/y=-2
x=-2y
(x²-2xy-3y²)/(x²-6xy-7y²)
=(x-3y)(x+y)/(x-7y)(x+y)
=(x-3y)/(x-7y)
=(-2y-3y)/(-2y-7y)
=5/9