约分:x²+y²-9-2xy/x²-y²+6x+9
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![约分:x²+y²-9-2xy/x²-y²+6x+9](/uploads/image/z/4523293-37-3.jpg?t=%E7%BA%A6%E5%88%86%EF%BC%9Ax%26%23178%3B%2By%26%23178%3B-9-2xy%2Fx%26%23178%3B-y%26%23178%3B%2B6x%2B9)
约分:x²+y²-9-2xy/x²-y²+6x+9
约分:x²+y²-9-2xy/x²-y²+6x+9
约分:x²+y²-9-2xy/x²-y²+6x+9
原式=[(x^2-2xy+y^2)-3^2]/[(x^2+6x+9)-y^2]
=[(x-y)^2-3^2]/[(x+3)^2-y^2]
=[(x-y+3)(x-y-3)]/[(x+3+y)(x+3-y)]
=(x-y-3)/(x+y+3)