Example

Suppose we define the following function on the integers:

f(x,y) = x/y if x>0 and y≠0
= 0 otherwise

Using just an if expression:
(define f
  (lambda (x y)
    (if (> x 0)
        (if (not (= y 0))
            (/ x y)
            0)
        0)))
Using an if and and expression:
(define f
  (lambda (x y)
    (if (and (> x 0)
             (not (= y 0)))
        (/ x y)
        0)))