(a) Simplify \(\frac{x + 2}{x - 2} - \frac{x + 3}{x - 1}\) (b) The graph of the equation \(y = Ax^{2} + Bx + C\) passes through the point (0, 0), (1, 4) and...

(a) Simplify \(\frac{x + 2}{x - 2} - \frac{x + 3}{x - 1}\)

(b) The graph of the equation \(y = Ax^{2} + Bx + C\) passes through the point (0, 0), (1, 4) and (2, 10). Find the : 

(i) value of C ; (ii) values of A and B ; (iii) co-ordinates of the other point where the graph cuts the x- axis.