What is (x-y)(x+y+6)=-9 ?

The solution to (x-y)(x+y+6)=-9 is Hyperbola with (h,k)=(-3,-3),a=3,b=3

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(x-y)(x+y+6)=-9

(x - y) (x + y + 6) = - 9

(h, k) = (- 3, - 3), a = 3, b = 3

Solution steps

(x - y) (x + y + 6) = - 9

Rewrite

(x - y) (x + y + 6) = - 9

in the form of a standard hyperbola equation

\frac{( y - ( - 3 ) ) ^{2}}{3 ^{2}} - \frac{( x - ( - 3 ) ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 3, - 3), a = 3, b = 3

\frac{( x - 1 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{16} = 1

x^{2} - y^{2} - 2 x - 6 y - 12 = 0

16 x^{2} - 9 y^{2} + 96 = 0

\frac{( x - 3 ) ^{2}}{9} - \frac{( y + 2 ) ^{2}}{4} = 1

(\frac{( x - 2 )}{16})^{2} - \frac{( y + 3 ) ^{2}}{1} = 1

What is (x-y)(x+y+6)=-9 ?
The solution to (x-y)(x+y+6)=-9 is Hyperbola with (h,k)=(-3,-3),a=3,b=3