Solve this:

Solve this: (O) = tc2a — O is equa flab •

f (x - y) = f (x) f (y) - f (a - x) f (a + y)___________(1) R e l p a c e x b y a - x a n d y b y y + a f (a - x - (y + a)) = f (a - x) f (y + a) - f (a - (a - x)) f (a + y + a) f (- (x + y)) = f (a - x) f (y + a) - f (x) f (2 a + y)___________(2) A d d i n g e q u a t i o n 1 a n d 2 f (x - y) + f (- (x + y)) = f (x) f (y) - f (a - x) f (a + y) + f (a - x) f (y + a) - f (x) f (2 a + y) P u t x = 0 f (- y) + f (- (y)) = f (0) f (y) - f (a) f (a + y) + f (a) f (y + a) - f (0) f (2 a + y) f (- y) + f (- (y)) = f (0) f (y) - f (0) f (2 a + y) 2 f (- y) = f (y) - f (2 a + y) R e p l a c e y b y - x 2 f (x) = f (- x) - f (2 a - x) f (2 a - x) = f (- x) - 2 f (x)_________(2) f (x - y) = f (x) f (y) - f (a - x) f (a + y) P u t x = 0 f (- y) = f (0) f (y) - f (a) f (a + y) f (- y) = f (y) - f (a + y) R e p l a c e y b y x f (- x) = f (x) - f (a + x) P u t i n e q u a t i o n 2 f (2 a - x) = f (x) - f (a + x) - 2 f (x) f (2 a - x) = - f (a + x) - f (x) P l e a s e c h e c k y o u r o p t i o n s