$\dfrac{(\sin a + \cos a)^2 - (\sin a - \cos a)^2}{\sin a\cos a}$
$= \dfrac{\sin^2a + \cos^2a + 2\sin a\cos a - (\sin^2 + \cos^2x - 2\sin x\cos x)}{\sin a\cos a}$
$=\dfrac{1 + 2\sin a\cos a - (1 - 2\sin a\cos a)}{\sin a\cos a}$
$= \dfrac{4\sin a\cos a}{\sin a\cos a}$
$= 4$