What is (x-y)(x+y)>4 ?

The solution to (x-y)(x+y)>4 is Hyperbola with (h,k)=(0,0),a=2,b=2

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(x-y)(x+y)>4

(x - y) (x + y) > 4

(h, k) = (0, 0), a = 2, b = 2

Solution steps

(x - y) (x + y) > 4

Rewrite

(x - y) (x + y) > 4

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} - \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 2

y^{2} + 1 = 4 x^{2} + (- 1)

x^{2} - y^{2} - 2 x + 4 y - 12 = 0

36 x^{2} - 4 y^{2} - 36 x - 8 y = 31

\frac{( x - 3 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{9} = 1

9 x^{2} - 4 y^{2} + 54 x + 16 y + 29 = 0

What is (x-y)(x+y)>4 ?
The solution to (x-y)(x+y)>4 is Hyperbola with (h,k)=(0,0),a=2,b=2