If x - y = 13 and xy = 25, then the value of $x^2 - y^2 = ?$

$13\sqrt{269}$ $13\sqrt{210}$ $13\sqrt{229}$ $13\sqrt{240}$

$13\sqrt{269}$

We know that, a2 - b2 = (a + b) (a – b) If x - y  = n then, x + y  = \(\sqrt {n^2 + 4xy}\) If x - y = 13 xy = 25, x + y = \(\sqrt {13^2 + 4 × 25}\) = \(\sqrt {269}\) then the value of $x^2 - y^2$ = $13\sqrt{269}$