Well, darling, the expansion for x^2 + y^2 is simply x^2 + y^2. That's all there is to it, no fancy footwork needed. Just keep it simple and enjoy the math ride, honey.
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y2=-x2-8x+6
x2 -y2 +4y-4=(x+y)(x-y)+4y-4
x2 - y2 + 9x - 9y =(x2 + 9x) - (y2 + 9y) =x(x + 9) - y(y + 9)================================Another way to go after it:x2 - y2 + 9x - 9y =(x2 - y2) + 9x - 9y =(x + y) (x - y) + 9 (x - y) =(x + y + 9) (x - y)
(x - y)(x + y)(x2 - xy + y2)(x2 + xy + y2)
when you have y=+/-x2 +whatever, the parabola opens up y=-(x2 +whatever), the parabola opens down x=+/-y2 +whatever, the parabola opens right x=-(y2 +whatever), the parabola opens left so, your answer is up