Original: According to the theorem , it is possible to expand the power ( x + y ) n into a sum involving terms of the form ax ` b ` y ` c , where the coefficient of each term is a positive integer , and the sum of the exponents of x and y in each term is n. For example ,
Simplified: So ( x + y ) ^ 2 = 1x ^ 2y ^ 0 + 2x ^ 1y ^ 1 + 1x ^ 0y ^ 2