<span>x^2+y^2+2xy-(x+y)^3=(x+y)</span><span>²-(x+y)</span><span>³=(x+y)</span><span>²(1-x-y)=(x+y)(x+y)(1-x-y)</span>
(a-b)^3-a^2+2ab-b^2=(a-b)³-(a-b)²=(a-b)(a-b)(a-b-1)
<span>a^2-b^2-(a-b)^3=(a-b)(a+b)-(a-b)</span>³=(a-b)(a+b-a²+2ab-b²)
2x^2-2y^2+2x=0
перенесем центр в точку (-0,5;0)
x=x'-0,5
x=y'
2(x-0,5)^2-2y'+2(x-0,5)=2*(x'-0,5)(x'-0,5+1)-2y'=2(x'-0,5)(x'+0,5)-2y'=
=2x'^2-1/2-2y'^2=0
4x^2-4y^2=1
x^2/(1/2)^2-y^2/(1/2)^2=1
гипербола
Сокращаем на 7, a^2 и b
= 2/7ab